Roma repeatedly came close to the title but were beaten by Juventus, Milan and Inter, who have not been able to stick with Napoli this year.
The Blues are ready to offload a huge 10 players this summer, many of whom look likely to move to Italy - and Boehly hopes to use one of them as part of a lucrative swap
The 27-year-old, who joined the Italian giants in 2019, is out of contract in the summer and the Reds have been heavily linked with him recently