Chelsea's most recent offer is for a two-year extension to his present deal that would keep him at the club until 2011, but the England player is seeking an additional four years.
Lampard is keen to stay at the club he has served with distinction for seven years and will meet Peter Kenyon, the chief executive, for contract talks after returning from holiday next week. The midfield player, who is a transfer target for Inter Milan, will also hold talks with Luiz Felipe Scolari, the new manager, when the Brazilian reports for duty at the club on July 7.