Thank you very much for joining BBC Scotland's coverage. We'll have lots of match reaction on the website, including a player rater compiled by Darren Jackson. All the best, and well done to Scotland!
Finally, some stats to ponder
Ikechi Anya scored with Scotland's first shot of the game.
Scotland have scored in 10 of their last 11 away internationals.
Gordon Strachan has overseen successive away wins as manager for the first time since March 2014 (a run of three wins).
Scotland have also kept consecutive clean sheets for the first time since March 2014.
The Scots have lost just two friendlies under Strachan (W6 D2).
Well played, keeper
SNSCopyright: SNS
Scotland captain Darren Fletcher and Allan McGregor shake hands at the end of the match. The Hull goalkeeper made some important saves in his 35th appearance for the national team.Image caption: Scotland captain Darren Fletcher and Allan McGregor shake hands at the end of the match. The Hull goalkeeper made some important saves in his 35th appearance for the national team.
Denmark next for Scotland
So it's on to Hampden on Tuesday where Denmark will be the visitors. What a fillip it would be if Scotland could register another win, albeit in a friendly.
Satisfied Strachan
Gordon Strachan: "The players can be pleased with themselves, I don't think anybody needs to be worried about their performance."
'A slow start'
Gordon Strachan: "After a low start in the first half I thought the Czech Republic played very well but I think we allowed them to play. I thought McGregor was fantastic. We didn't close people down. Once we sorted that out in the second half and passed the ball it became a different game. The group have made it a good night. We are not a great side but we can turn ourselves into a decent side by working hard. It was great learning in the first half about how small things can change a game."
The biggest positive?
Scotland manager Gordon Strachan: "The win." There you have it.
Post update
Tough night for Ricky Sbragia's U21s
Scotland's Under-21s are trailing 2-0 against France, a damaging blow to their hopes of qualifying for the European Championships.
Post update
SNSCopyright: SNS
Robert Snodgrass had an impressive night for Scotland in midfield.Image caption: Robert Snodgrass had an impressive night for Scotland in midfield.
'A confidence booster'
BBC Scotland's Tom English: "That's a strong victory for them against a good side. The Czech Republic ran out of ideas in the second half. They limited the Czech Republic to the odd chance. McGregor was in top form and Scotland should have had a penalty. It's a very creditable victory and it's a good confidence booster."
Scotland: more than decent
Quote Message: It is more than a decent result, it's a fantastic result. Gordon Strachan has had a bit of criticism for his squads. Everybody has been fantastic. from Former Scotland striker Darren Jackson
It is more than a decent result, it's a fantastic result. Gordon Strachan has had a bit of criticism for his squads. Everybody has been fantastic.
FULL-TIME
Czech Republic 0-1 Scotland
Clever stuff from Watt
Tony Watt shows good strength and an old head to kill time down in the left corner. What's more, he wins a corner. Terrific.
Post update
SNSCopyright: SNS
Tony Watt makes his Scotland debut as a late substitute.Image caption: Tony Watt makes his Scotland debut as a late substitute.
Sensing victory
The Tartan Army are in good voice, with a hearty rendition of Flower of Scotland. We're in to the three minutes of injury time now.
Cap for Caddis
Birmingham right-back Paul Caddis comes on for Ikechi Anya. He joins Kenny McLean and Tony Watt in making his Scotland debut.
Anya half chance
Barry Bannan loops a cross over from deep on the left and Ikechi Anya heads wide, under pressure at the back post.
Elsewhere in Europe
Italy 1-1 Spain
Now here's a story! Veteran Athletic Bilbao striker Aritz Aduriz has bagged on his first start for Spain - six years after his only other international cap.
The 35-year-old frontman, who has netted 31 goals for the La Liga side in all competitions, slams in an equaliser just seconds after Italy take the lead through Napoli's Lorenzo Insigne.
All over in Odessa. So what, I hear you cry? So Ukraine - Wales' next opponents and Northern Ireland's Euro 2016 rivals - have earned a steady if unspectacular 1-0 win against Cyprus. Shakhtar Donetsk midfielder Taras Stepanenko bagged the first-half winner.
Live Reporting
Keir Murray
All times stated are UK
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SNSCopyright: SNS Scotland captain Darren Fletcher and Allan McGregor shake hands at the end of the match. The Hull goalkeeper made some important saves in his 35th appearance for the national team.Image caption: Scotland captain Darren Fletcher and Allan McGregor shake hands at the end of the match. The Hull goalkeeper made some important saves in his 35th appearance for the national team. 
SNSCopyright: SNS Robert Snodgrass had an impressive night for Scotland in midfield.Image caption: Robert Snodgrass had an impressive night for Scotland in midfield. 
SNSCopyright: SNS Tony Watt makes his Scotland debut as a late substitute.Image caption: Tony Watt makes his Scotland debut as a late substitute. 
Getty ImagesCopyright: Getty Images
Latest PostGood night
Thank you very much for joining BBC Scotland's coverage. We'll have lots of match reaction on the website, including a player rater compiled by Darren Jackson. All the best, and well done to Scotland!
Finally, some stats to ponder
Ikechi Anya scored with Scotland's first shot of the game.
Scotland have scored in 10 of their last 11 away internationals.
Gordon Strachan has overseen successive away wins as manager for the first time since March 2014 (a run of three wins).
Scotland have also kept consecutive clean sheets for the first time since March 2014.
The Scots have lost just two friendlies under Strachan (W6 D2).
Well played, keeper
Denmark next for Scotland
So it's on to Hampden on Tuesday where Denmark will be the visitors. What a fillip it would be if Scotland could register another win, albeit in a friendly.
Satisfied Strachan
Gordon Strachan: "The players can be pleased with themselves, I don't think anybody needs to be worried about their performance."
'A slow start'
Gordon Strachan: "After a low start in the first half I thought the Czech Republic played very well but I think we allowed them to play. I thought McGregor was fantastic. We didn't close people down. Once we sorted that out in the second half and passed the ball it became a different game. The group have made it a good night. We are not a great side but we can turn ourselves into a decent side by working hard. It was great learning in the first half about how small things can change a game."
The biggest positive?
Scotland manager Gordon Strachan: "The win." There you have it.
Post update
Tough night for Ricky Sbragia's U21s
Scotland's Under-21s are trailing 2-0 against France, a damaging blow to their hopes of qualifying for the European Championships.
Post update
'A confidence booster'
BBC Scotland's Tom English: "That's a strong victory for them against a good side. The Czech Republic ran out of ideas in the second half. They limited the Czech Republic to the odd chance. McGregor was in top form and Scotland should have had a penalty. It's a very creditable victory and it's a good confidence booster."
Scotland: more than decent
FULL-TIME
Czech Republic 0-1 Scotland
Clever stuff from Watt
Tony Watt shows good strength and an old head to kill time down in the left corner. What's more, he wins a corner. Terrific.
Post update
Sensing victory
The Tartan Army are in good voice, with a hearty rendition of Flower of Scotland. We're in to the three minutes of injury time now.
Cap for Caddis
Birmingham right-back Paul Caddis comes on for Ikechi Anya. He joins Kenny McLean and Tony Watt in making his Scotland debut.
Anya half chance
Barry Bannan loops a cross over from deep on the left and Ikechi Anya heads wide, under pressure at the back post.
Elsewhere in Europe
Italy 1-1 Spain
Now here's a story! Veteran Athletic Bilbao striker Aritz Aduriz has bagged on his first start for Spain - six years after his only other international cap.
The 35-year-old frontman, who has netted 31 goals for the La Liga side in all competitions, slams in an equaliser just seconds after Italy take the lead through Napoli's Lorenzo Insigne.
Read Aduriz's remarkable story, which we published earlier this year, here.
FULL-TIME
Ukraine 1-0 Cyprus
All over in Odessa. So what, I hear you cry? So Ukraine - Wales' next opponents and Northern Ireland's Euro 2016 rivals - have earned a steady if unspectacular 1-0 win against Cyprus. Shakhtar Donetsk midfielder Taras Stepanenko bagged the first-half winner.