10:24am: It will be a two-year deal and the Giants are out, tweets Rosenthal. Pirates GM Neal Huntington said today that they made a "very fair offer" to Grilli.

THURSDAY, 8:28am: Grilli will decide between the Cubs, Blue Jays, Giants, and Pirates at 10am today, or earlier if one of the teams goes to three years on the 36-year-old, tweets Peter Gammons of MLB Network. Ken Rosenthal of FOX Sports says Grilli will stay in Pittsburgh if no one adds the third year.

WEDNESDAY, 4:38pm: Grilli is still wading through all the offers presented to him, Sheffield told MLB.com's Tom Singer. The Brewers haven't talked with Sheffield this week, GM Doug Melvin told reporters.

12:42pm: If Grilli is close to a deal, it's not with the Brewers, tweets Tom Haudricourt of the Milwaukee Journal Sentinel.

10:50am: Jason Grilli's agent, former MLB slugger Gary Sheffield, tells Nick Cafardo of the Boston Globe (Twitter link) that he's nearing a deal for his client. However, Sheffield didn't reveal which team was closing in on Grilli.

As Rob Biertempfel of the Pittsburgh Tribune-Review notes, Grilli is expected to choose from nearly a dozen suitors today, with the Pirates still in the mix. The right-hander figures to land a multiyear contract.