Real Madrid and Barcelona are also keen on signing the England midfielder who can leave Stamford Bridge this summer for a cut-price £9million under new FIFA rules.
Lampard has said he wants to stay with the Blues for the rest of his career, but the club his refusing to meet his contract demands.
New Juventus boss Ranieri is armed with a £70million war chest to spend on new signings and will dangle some of it in front of Chelsea.