Toronto relief pitcher Jason Frasor, right, earned $2.65 million US last season. (Darren Calabrese/Canadian Press)

The depleted Toronto Blue Jays bullpen regained a familiar face Tuesday night when reliever Jason Frasor pulled himself off the open market by accepting the club's offer of salary arbitration.

The right-hander's decision came ahead of a midnight deadline for free agents offered arbitration to either accept or decline.

Teammates Scott Downs, Kevin Gregg and Miguel Olivo all rejected the offer and remain free to sign with other clubs. Should they move on, the Blue Jays would receive compensatory draft picks.

Frasor's decision comes after he was able to test the market briefly after going 3-4 with four saves and a 3.68 earned-run average in 69 games this past season, when he earned $2.65 million US.

While he expressed a desire to remain in Toronto after the season, he added he was curious to see what other teams might offer him. But he was likely hurt by his status as a Type A free agent, entitling the Blue Jays to two draft picks had he left.

Frasor joins fellow right-hander Shawn Camp as one of the few veteran holdovers from a bullpen that ranked 10th in American League relief ERA in 2010.