Manager Gary Locke was thrilled by Hearts' determination as they left Firhill with a 1-1 draw.
Partick Thistle converted an 86th-minute penalty only for Jamie Walker to level soon after with a 20-yard strike.
"It shows the character we've got when we lose a goal with not long to go and the players are still taking the responsibility to go right up the park and get an equaliser," said Locke.
"The players didn't put their heads down. We know every point is valuable."
Following last weekend's Edinburgh derby win, the Tynecastle now sit on -11 points at the bottom of the Scottish Championship, having started with a 15-point penalty for entering administration.
Hearts were under pressure for most of the first-half, with the hosts dominating possession.
And it looked like Thistle would collect maximum points when Aaron Muirhead crashed in a penalty following a barge by Walker on John Baird.
However, Walker made amends in terrific style, weaving his way past a couple of challenges before finding the net with a powerful shot.
"It was some game," Locke told BBC Radio Scotland. "It was end to end!
"First half, we weren't at the races. Partick outplayed us for long spells.
"We needed to get them in at half-time and have a wee word.
"Second half was much better. We got closer to people, we stopped them from playing a bit and we were certainly on the front foot a lot more."
Locke and his assistant Billy Brown complained vociferously at the award of Thistle's penalty, although Walker's reaction appeared to indicate the player knew he had committed a rash challenge.
"From where we were it looked a soft one but I would need to see it again," was all Locke would say.
Hearts fans once again travelled in numbers, with around 2000 making the trip to the west end of Glasgow.
"The support we had was unbelievable," Locke enthused. "At times it was like a home game."