Blues officials will reply by insisting the England star is not for sale at any price.
And they will follow up by arranging another meeting with Lampard to discuss a new contract when he returns for pre-season training next week.
A senior source at the Nou Camp confirmed: "We know the negotiation will be a complex one.
"But coach Frank Rijkaard has made his feelings clear on Lampard and it's now up to the directors to find a way to sign him.
"We don't expect it will happen quickly but we have time before the new La Liga season begins and we are prepared to do what is necessary."