Next up in Group B is the big one - Argentina v Uruguay. That takes place on Tuesday, but if you can't wait until then for some more Copa America-related shenanigans then you're in luck. Come and join us from 22:00 BST tomorrow when Brazil take on Peru in their opening Group C game. See you then!
- Paraguay come from 2-0 down to draw
- Aguero slotted opener after poor backpass
- Messi second from spot for Argentina
- Argentina not won Copa America since 1993
So where does that leave Group B after the first round of matches? Holders Uruguay, after their narrow 1-0 win against Jamaica, lead the group ahead of Argentina and Paraguay.
The top two in the three groups automatically reach the quarter-finals remember, with the two best third-placed teams also progressing.
*Cliche alert* I'm afraid it is time to roll out one of football's favourite phrases. That really was a game of two halves. Paraguay looked down and out at the break as Argentina eased into a 2-0 lead.
They had mustered just one shot at the Argentina goal before half-time (which was off target) as their opponents hogged 76% of the ball.
But the outsiders fought back brilliantly to earn a well-deserved point.
Argentina coach Tata Martino looks shellshocked as he marches down the tunnel. Expect the former Barcelona boss to lead an inquest inside the changing room - and face some tough post-match questions from his nation's media.
Toot toot toot! The referee calls time on an unlikely humdinger of a football match - Paraguay are celebrating, Argentina are left despairing. Remarkable fightback by the Paraguayans, ranked 85th in the world, from 2-0 down against the World Cup finalists and Copa favourites.
Carlos Tevez! The Argentina striker sees the back-page headline as he homes in on Angel Di Maria's deft cross from the right. But he does not concentrate on the immediate job - sticking the ball in the Paraguayan net - as he scuffs wide with the goal gaping.
Don't back just yet on this one ending as a draw. Three minutes of stoppage time to find a winner...
Lucas Barrios, quite rightly, goes nuts as he celebrated Paraguay's unlikely comeback from 2-0 down. However, he earns a yellow card for his troubles.
Un. Believe. Able. Paraguay look like they are going to nick a point against tournament favourites Argentina. Substitute Lucas Barrios, moments after replacing Roque Santa Cruz, latches on to Paulo Da Silva's knockdown header to blast in a low leveller from 15 yards.
Paraguay win a flurry of free-kicks in the Argentina half - if they are going to nick a point then they will have to do it quickly...
Another minute, another half-chance. Paraguay defender Miguel Samudio is still looking to make amends for gifting Argentina both of their goals, but his left-foot shot from outside the box is high, wide and horrible.
Free-kick for Paraguay on the right side of the area. Is this their moment? Nope. A poor delivery from Derlis Gonzalez is easily dealt with by La Albaceleste's defence.
Argentina are rattled. That is perfectly illustrated by defender Nicolas Otamendi, who goes into the referee's notepad with a rash challenge. Argentina boss Tata Martino looks nervous as he prowls the touchline.
Moments after Angel Di Maria's chance, his Manchester United team-mate Marcos Rojo ventures forward to hammer a shot over the Paraguay crossbar. Smart money would still go on an Argentina win, but this game is finely balanced as we enter the final 10 minutes...
Now it's Argentina's turn to attack. The fans inside the Estadio La Portada de La Serena are like a tennis crowd - watching the ball ping quickly from one end to the other. Angel Di Maria fancies his chances from a tight angle, but sees his effort blocked by Paraguay keeper Antony Silva.
Great chance for Paraguay! The underdogs almost nab an equaliser as Miguel Samudio - who was at fault for both of Argentina's goals - forces Sergio Romero into an acrobatic save.
Argentina are looking punch-drunk defensively at the moment. But these two aren't bad options to bring on at the other end. Carlos Tevez and Gonzalo Higuain shake hands with Javier Pastore and Sergio Aguero respectively. You score once, and we'll score twice, seems to be the Argentina philosophy...
End to end stuff now. Argentina skipper Lionel Messi slides in to meet Angel Di Maria's ball down the Paraguay corridor of uncertainty - betwene keeper and defence - but the Barca man is a couple of inches too short to turn in.
Oh my word! Paraguay almost nick an equaliser. You would not have imagined this half an hour ago. Half-time substitute Derlis Gonzale pounces on Angel Di Maria's miskick to fire across a low ball from the right. Team-mate Nelson Haedo Valdez - who halved the deficit moments ago - flicks out a right boot but does get enough contact to turn the ball inside the far post.
Argentina are rocking at the moment. Paraguay win a corner after Roque Santa Cruz stretches those ageing legs to chase down La Albaceleste's defence. But keeper Sergio Romero comes to the rescue to gather the set-piece.
Paraguay are forced on to the back foot again as Argentina look to reassert their dominance. Javier Pastore looks certain to score with a vicious, angled half volley - but he didn't bank on Paraguay keeper Antony Silva having the reflexes of a cat. Great save.
Paraguay have rediscovered their spark - quite probably for the first time since 2011. The team ranked 85th in the world make another tactical change as they look to capitalise on any more generous Argentina defending. It's like for like as forward Edgar Benitez replaces Raul Bobadilla.
Lionel Messi misses the target when well placed in the opposition penalty box. That's not a sentence that you write very often in this profession. Within seconds of Paraguay's goal, the Argentina skipper wriggles into space in the left channel, firing a low shot which just evades team-mate Sergio Aguero's outstretched boot and the far post.
Argentina's players look a little shocked by that worldie from Valdez. Paraguay have not been in this game - but now have the opportunity to see what the tournament favourites are made of.
Well, well, well. Who saw this goal coming? Not me. Not Argentina keeper Sergio Romero. And probably not goalscorer Nelson Valdez. Moments after missing a decent chance, the Paraguay midfielder unleashes a 25-yard strike which swerves, dips and beats Romero to put Paraguay right back in this game.
Almost a third for Argentina! Lionel Messi and Javier Pastore link up superbly with the Barcelona man firing straight at the legs of the Paraguay keeper. That would have been game, set and match.
Normal service is resumed as Argentina go back on the front foot. Sergio Aguero volleys Facundo Roncaglia's pull-back from the right wing goalwards, but a red and white Paraguay shirt deflects his effort out for a corner.
What this game needs is a Paraguay goal. Doubt we'll see one though. Boss Ramon Diaz (who used to manage Oxford United in case you missed that earlier) sees his team waste a promising chance with a stray free-kick in Argentina territory.
Similar pattern to the first half in the opening exchanges of the second half - Argentina have possession, Paraguay defend for their lives.
Oooh, Derlis Gonzalez could be seeing red here. The Paraguay midfielder has just been booked for charging into Angel Di Maria - and does exactly the same barely 60 seconds later. But Gonzalez pleads his innocence to the referee and escapes with a ticking off. That'll be his last warning I'd imagine.
Change for Paraguay, who could have hooked any of their 11 players quite frankly. Basel midfielder Derlis Gonzalez is the man who enters the action - and his first involvement is picking up a yellow card for hacking down Angel Di Maria.
The game-faces are back on the Argentina players. Back under way.
The Argentina players hold an impromptu huddle in the Estadio La Portada de La Serena tunnel while skipper Lionel Messi readjusts his armband. Messi and Angel Di Maria, both covering their mouths so cameras can't pick up what they're saying, share a joke. Maybe they're laughing about Paraguay's first-half defending...
No fight. No cross words. But it hasn't stopped speculation over the years that Lionel Messi and Carlos Tevez don't see eye to eye. However, the Juventus striker has been gushing in his praise of his team-mate.
"I believe the people do love him because he's Argentine and because he's the best in the world," Tevez tells the Copa America website.
"He who doesn't love Messi knows nothing about football or about life. More than that, I don't know what's going on in their heads.
Defending champions Uruguay began their title defence with a narrow 1-0 win against Jamaica earlier.
Atletico Madrid midfielder Cristian Rodriguez scored in the 52nd minute as Uruguay lacked attacking spark without Luis Suarez.
The Barcelona striker is, of course, still banned after biting Italy defender Giorgio Chiellini at last year's World Cup.
South American heavyweights Argentina, who haven't won this tournament since 1993, have pummelled a Paraguay side ranked way down in 85th in the world. Don't believe me? Here are the numbers that prove it....
So far so good for Argentina. Goalscorers Sergio Aguero and Lionel Messi look content with their work over the past 47 minutes as they jog back to the dressing room - and so they should. Easy street for the favourites.
The fourth official wants a slice of the action, striding purposefully up to the touchline, then wafting his big electronic board to each side of the stadium. An illuminated number two means that we will have an extra 120 seconds of stoppage time. Paraguay cannot wait.