Grullon signed a minor-league contract with the Red Sox on Wednesday.
Grullon was traded to White Sox on Thursday for cash considerations, Marc Topkin of the Tampa Bay Times reports.
Grullon was designated for assignment by the Rays on Friday, Neil Solondz of the Rays Radio Network reports.
Grullon was claimed off waivers by the Rays on Saturday, Neil Solondz of the Rays Radio Network reports.
Grullon was designated for assignment by the Mets on Tuesday, Tim Healey of Newsday reports.
The Mets claimed Grullon off waivers from the Rays on Wednesday, Anthony DiComo of MLB.com reports.
Grullon was designated for assignment by the Rays on Saturday, Adam Berry of MLB.com reports.
The Rays claimed Grullon off waivers from the Reds on Tuesday, Adam Berry of MLB.com reports.
Grullon was designated for assignment by the Reds on Saturday.
Grullon was optioned to Triple-A Louisville on Sunday.