The 22-year-old forward joined Lille from Gent in the summer of 2020, when several other big clubs were interested in signing him.
He has padded his reputation further in France and has scored 16 times in 34 appearances across all competitions for Lille so far this season.
Arsenal will be in the market for a striker in the summer and the Canadian is one of their top targets for the next window.
But according to Italian outlet Calciomercato.com, the competition for his signature is set to intensify due to interest from two Serie A giants.
Inter and AC Milan have taken note of his development and are considering taking him to Italy in the summer.
Both Milan clubs are expected to invest in a young forward at the end of the season and David is on their shortlist of targets.
However, the two Italian clubs are likely to wait for Lille to rethink their asking price of €60m before making a concrete move for him.
Borussia Dortmund are also considering signing David as the potential replacement for Erling Haaland, who is tipped to move on in the summer window.
