Conte is currently in charge at Inter, and he reportedly wants to rekindle his relationship with Alonso in Serie A.
But, the Blues want £35m for the Spanish left-back, as he still has three-and-a-half years left on his current contract.
Meanwhile, Lampard is reportedly interested in signing Lyon striker Moussa Dembele, if Giroud leaves the club.
Lyon have told Chelsea that the former Celtic star isn’t for sale, but the Blues could tempt the Ligue 1 side to let him go with a big enough bid.
source: express.co.uk