Chelsea have rejected a cash-plus-player offer from Barcelona for Willian.
Barca expressed an interest in Willian during the summer transfer window and have done so again, this time indicating that they would include his fellow Brazilian Malcom as part of any deal.
Winger Malcom was linked with a number of English clubs, including Chelsea, prior to joining Barca from Bordeaux last year.
He has failed to impress at the Nou Camp and several Premier League sides have been sounded out to see if they are interested in signing him.
Chelsea have made it clear Willian is not for sale and that they have no interest in signing Malcom.