A Kevin Davies brace either side of strikes from Nicklas Bendtner and James McClean gave Bolton what boss Owen Coyle called a "crucial point" in their fight against the drop.
"We've taken four points from two tough away games - Aston Villa and Sunderland - and now we've got to use that as a platform going into home games. It's in our hands."
He picked out captain Davies for particular praise. "He's always been a terrific player. He's been a terrific leader for our football club.
"He's come roaring back from injury in the last couple of months."
Martin O'Neill was also full of praise for Davies, who had reminded the Black Cats boss why he tried to sign him in January.
"People talk about Kevin being an old-fashioned centre forward," he said.
"But he will cause problems, he is not afraid to get hurt and he is a nuisance but he has more than a bit of ability and can score a goal."