MINNEAPOLIS -- The Twins have offered arbitration to free agent left-hander Dennys Reyes, general manager Bill Smith confirmed Monday afternoon.

Reyes now has until 11 p.m. CT on Sunday to accept or decline the offer. Players who accept arbitration become contractually bound to that team for the following season.

By offering arbitration to Reyes, who is a Type-B free agent, the Twins have ensured that they will receive a supplemental-round Draft pick in June's First-Year Player Draft if the pitcher signs with another ballclub.

The Twins, who are looking for bullpen help, have expressed interest in trying to re-sign Reyes and could afford the salary for the left-hander in '09 if he accepts the offer. But the expectation is that Reyes will explore the free-agent market for a multiyear deal, especially since he could still sign with the Twins even if he turns down arbitration.

Minnesota's three other free agents -- Adam Everett, Eddie Guardado and Nick Punto -- were not offered arbitration. None of them were Type-A or Type-B free agents, so the Twins would not have gained any compensatory picks by offering them arbitration.

Neither Everett nor Guardado is expected back for the 2009 season, but the Twins could end up re-signing Punto, who would give them another option at shortstop.