The Stamford Bridge club are desperate to bolster their midfield and have made the Croatia international their number one target this summer.
Modric has made no secret of his desire to move across London, despite signing a new six-year contract last season.
However, Tottenham are unwilling to sell and have already rejected two bids of £22million and £27million from the Blues for the 25-year-old.
But with Harry Redknapp quiet in the trasnfer window so far the prospect of recieving two internationals as well as a significant sum of cash could eventually be enough to persuade him to let the former Dinamo Zagreb man leave.
Wolves got their Premier League promotion push firmly back on track with a convincing 3-0 Sky Bet Championship win against Reading at Molineux.
MK Dons finally gave boss Dan Micciche a first victory in charge as they beat play-off chasing Rotherham 3-2.
Antonio Conte called on Eden Hazard to win 'important trophies' to be considered in the same class as Barcelona's Andres Iniesta.