Nathan Eovaldi has until Tuesday at 4 p.m. ET to accept the one-year, $19.65 million qualifying offer the Red Sox issued last week. But before then, there’s also the possibility of a multi-year agreement between the sides.

The Red Sox have made a multi-year offer to Eovaldi, as confirmed by WEEI’s Rob Bradford on Sunday morning (and previously reported by Marino Pepén and @BostonStrong_34). The details of that offer are unknown at this time. Obviously, any multi-year deal would guarantee less in average annual value than the $19.65 million number that comes with the qualifying offer. Eovaldi could sign for something in the $15-17 million per year range after making $17 million in each of the last four seasons. A two-year deal or two-year deal with an option would make sense for the righty, who turns 33 in February.