Oakland sent kicker Eddy Pineiro to Chicago in return for a conditional 2021 seventh-round draft pick, NFL Network's Ian Rapoport reported.
ESPN first reported the news.
Since then, Parkey has been released, tryouts have been had, four kickers with no NFL experience have been brought in and an additional quartet combined to go two for eight from 43 yards in the previous week's rookie camp opener.
Pineiro, 23, played at the University of Florida, but went undrafted in 2018 and signed with Oakland as an undrafted free agent. He was put on injured reserve by the Raiders in September of 2018.
He has no NFL stats, but in his final year at Florida, he converted 94 percent of his field goals (17 for 18). Thus, he might well be the Bears' best chance at remedying the ills of their kicking game.