Furthermore, following initial discussions with the midfielder's representatives, the Croatian is understood to be open to the move too.
One possible reason for why the 32-year-old may be keen on the transfer is the number of his countrymen who already play at the San Siro for Inter. Fellow World Cup stars Ivan Perisic, Marcelo Brozovic and new arrival Sime Vrsaljko are all part of a squad that hopes to challenge Juventus for the Serie A title this season.
Modric captained his country to the World Cup final in Russia, after playing 43 games for Real Madrid last season, which concluded with Los Blancos claiming their third straight Champions League title.
Inter Milan are allegedly actively pursuing midfield targets to strengthen their side as they look to compete both domestically and in Europe for the 2018/19 season.
Italian football appears to be having something of a renaissance following Cristiano Ronaldo's sensational move to Juventus, and Inter securing the services of one of the best midfielders in the world would be further evidence of this.
Real are said to be opposed to losing another star after Ronaldo, and Inter Milan are believed to have lined up Bayern Munich's Arturo Vidal if they fail to secure Modric's services.