According to a source, there has been "progress" in contract talks between the Rangers and the 34-year-old netminder.
It is believed that Biron, regarded as one of the best backups in the league, is seeking a multi-year contract although there is still work to be done before a deal is finalized.
Biron was 12-6-2 with a .904 save percentage and 2.46 goals-against average and two shutouts in 21 games for the Rangers this season. His steadying effort behind starter Henrik Lundqvist helped further fortify an already stellar presence in net for the Blueshirts.
Biron's solid play allowed the Rangers to manage Lundqvist's time to keep the 30-year-old Vezina Trophy finalist fresh for a deep postseason run. Lundqvist played a career-low 62 games in the regular season, posting career-bests in GAA (1.97), save percentage (.930) and wins (39).
Biron, who would become an unrestricted free agent on July 1 should contract discussions hit a snag, signed a two-year deal worth $1.75 million with the Rangers in 2010.