After having enjoyed an impressive start to life in the Premier League, the 25-year-old struggled to find his form in the latter half of the season, and as a result was dropped from the Spanish national squad.
Morata is very likely to depart Stamford Bridge over the summer, with his former club Juve speculated to be his destination. However, Milan are looking to hijack the bid in order to secure Morata's services themselves.
They are also tentatively scouting AS Monaco captain Radamel Falcao as their second-choice should their move for Morata not materialise. It is likely that Milan will offer up Andre Silva in a player exchange deal with Monaco in that case.
Despite their intentions, Milan's future is hanging in the balance after UEFA's club financial control body recommended that they be suspended from the Europa League next season after a breach of financial fair play regulations.
If they are to be excluded from European competition, the 'Rossoneri' would struggle to sign either player, and the sanction would mark an all-time low for the Italian league side.