The moment LeBron James arrived in Los Angeles, Lonzo Ball became a potential trade chip for the Lakers. A point guard whose best skill is passing became somewhat redundant on a team that already had the best passer of his generation. The Lakers want a superstar closer to James' timeline for contention, and a former No. 2 overall pick is a pretty nice piece to dangle in those discussions.
Ball had his own preferences for a destination, though, and when the Lakers tried to trade him to the New Orleans Pelicans in exchange for Anthony Davis, Ball made it known that he wanted to go elsewhere. His camp named the New York Knicks, Chicago Bulls and Phoneix Suns as destinations that interested him, and according to Joe Cowley of The Chicago Sun-Times, one of those teams actually tried to acquire him.
"According to one NBA executive, the Bulls and Lakers did start initial conversations on point guard Lonzo Ball shortly after the Ball camp made it public that the Bulls would be one of his desired destinations if Los Angeles were to move him."
Those talks ultimately never got far. Ball remains with the Lakers, and it is unclear what the Bulls were willing to part with to get him. It is possible that they would have sent assets to the New Orleans Pelicans as part of a bigger trade for Davis, and Cowley speculates that a package of Kris Dunn and the No. 4 overall pick (where the Bulls are slated to draft, though the lottery is still coming in May) might be on the table.