Chelsea plotted a swoop for Gianluigi Donnarumma before sealing a deal for Edouard Mendy, according to reports.
And they may go back in for the AC Milan star in June when his contract expires but will face competition from a number of top clubs.
Gianluigi has been a mainstay at the San Siro outfit since he was 16 but is yet to agree a fresh contract with the club.
Chelsea were among the interested clubs during the recent transfer market, as reported by CalcioMercato.
Frank Lampard was unhappy with number one Kepa Arrizabalaga as his first-choice keeper and bagged Edouard from Rennes for £22million.
Real Madrid and Paris Saint-Germain also took an interest in Gianluigi, along with Juventus.
But the 21-year-old star’s future will primarily be decided by the outcome of contract talks with Milan.
The Serie A side are believed to believe that he wants to stay with the club.
A potential Chelsea bid would likely demand Arrizabalga leave Stamford Bridge, with no willing buyer emerging over the autumn.
Discussing the Gianluigi talks last month, technical director and club legend Paolo Maldini suggested there was little reason to rush.
He told Sky Sport Italia: “He has played 220 games with Milan at his age, that’s absolutely uncommon.
“The more he goes on, the more he becomes a leader. He is a leader in training and with his behaviour. His growth has been truly exponential.
“We must try, it could happen in a week, 10 days, 20 days, we are not in a hurry. We are in this situation now, we know, so 10 or 15 more days won’t change anything.”