However, Milinkovic-Savic admits he will announce the decision over his future after the World Cup in Russian Federation.
Milinkovic-Savic has been heavily linked with a move away from Lazio after they failed to secure Champions League football next season.
Milinkovic-Savic featured 48 times over the course of the campaign, with 14 goals and 9 assists to show for his efforts. Manchester United have always been keeping tabs on his situation but the Red Devils now face competition from 13-time European Champions Real Madrid.
The report states that Milinkovic-Savic has been linked with serious interest from Man United for a prolonged period but Real could now be the front runners in the race to sign the 23-year-old Serbian midfielder.
Milinkovic-Savic is a year or two ahead of the Spaniard in terms of his development, but unless Real's next manager is more willing to rotate than Zinedine Zidane was in his final season, it could give him pause about going there.
Sergej Milinkovic-Savic: I will decide my future after the World Cup
Lazio may sell Sergej Milinkovic Savic for the right price.
Real Madrid, on the other hand, could be set to enter a period of change. Midfield is a priority as well, with the futures of Mateo Kovacic and Toni Kroos up in the air, and Luka Modric in the twilight years of his career.
According to Il Messaggero newspaper and Spanish paper AS, the Blancos are prepared to offer €150m plus another €20m in performance-related bonuses.
Trump shows off 'The Beast' to Kim during historic Singapore summit
The president was flanked by Secretary of State Mike Pompeo, Chief of Staff John Kelly and National Security Advisor John Bolton. With Trump , however, Rodman said, things changed because he understood that people of North Korea have a heart and a soul.