The White Sox released Colome on Thursday.
The White Sox outrighted Colome to Triple-A Charlotte on Friday.
The White Sox designated Colome for assignment Wednesday.
The White Sox selected Colome's contract from Triple-A Charlotte on Tuesday.
Colome signed a minor-league contract with the White Sox on Friday.
Colome was granted his release by the Nationals on Saturday, Andrew Golden of The Washington Post reports.
Colome was assigned to minor-league camp on Saturday, Jessica Camerato of MLB.com reports.
Colome walked three batters and struck out one in a scoreless inning of relief during Thursday's Grapefruit League game against the Mets.
Colome could see save chances if Kyle Finnegan gets shifted into a fireman role rather than being used as a traditional closer, Bobby Blanco of MASN reports.
Colome signed a minor-league contract with the Nationals on Friday and received an invite to major-league spring training, Jesse Dougherty of The Washington Post reports.