However, Juventus striker Gonzalo Higuain is not expected to secure a permanent deal to Stamford Bridge after a successful loan spell at the club last season.
Madrid have now received over 100m euros from player sales in this transfer window, following the 40m euros that Atletico Madrid paid for Marcos Llorente and AC Milan's 20m euro capture of Theo Hernandez.
Selling the Croatia global also enables Real Madrid to recoup some of the money they paid Chelsea to sign Eden Hazard, who swapped Stamford Bridge for Bernabeu earlier this month in a deal worth up to £130m.
Gibraltar detains oil super tanker bound for Syria
The European Commission-operated Equasis website lists the shipmanager as Singapore-based Iships Management. Iran has regularly supplied Syria with crude oil since the country descended into civil war in 2011.
"I am very happy to be staying here and very proud to be a Chelsea player".
Chelsea director Marina Granovskaia also spoke to Chelsea FC about the 25-year-old's permanent move.
"Mateo proved what an accomplished player he is during his season on loan with us", she said.
Kovacic told Chelsea's website: "I really enjoyed my season on loan with Chelsea".
Kendrick Norton: Miami Dolphins defensive tackle loses arm after auto crash
"We were made aware this morning of a serious auto accident involving Kendrick Norton ", said the Miami Dolphins in a statement . Norton spent most of his first season on that team's practice squad before later signing a deal with the Miami Dolphins .
They may be the only incomings at Stamford Bridge for the foreseeable future, although Chelsea have lodged an appeal against their transfer ban to the Court of Arbitration for Sport.
However, Kovacic was already registered having spent last term in west London.
The likes of Callum Hudson-Odoi, Mason Mount and Fikayo Tomori are likely to feature regularly for Chelsea next season, especially as the latter two spent last season on loan with Derby where Lampard now manages.
"The club wishes to thank Kovacic for these years of commitment, professionalism and exemplary behaviour, and wishes him good luck in his next step".
At Least One Dead Following Volcano Eruption on Italy's Stromboli Island
One British holidaymaker was quoted by BBC News as saying: "We turned around to see a mushroom cloud coming from Stromboli ". But is the volcano still erupting? "We have reports of several fires caused by the violent explosion", said Biffarella.