The two presidents met on the sidelines of the G20 summit in Rome on Sunday.
"In our meeting, we talked about F-16s, mostly for the modernization of the current F-16s we have and we also maybe [have] newer F-16s to be dispatched to us," Erdogan told a press conference following the G20 meeting in Rome.
"The agenda included the topic of the F-16s ... We saw a positive approach from Biden on this issue. Our heads of the defence ministries are involved in this process," he added.
Commenting on the US supply of weapons to the Syrian Kurdish self-defence forces, he expressed concerns, saying he hopes that "this process will not continue this way in the future."