Real Madrid are also keen on the Brazilian who helped Cruzeiro to the Brazilian title last season.
In August his agent Luis Rocha confirmed that Manchester United were one of many teams to have expressed an interest in his client.
But United are not the only Premier League team to be linked with his signature. League rivals Arsenal are also said to be keen. Reports this month have seen Arsenal as the latest team to be looking into the signature of the player - who will cost €15 million according to Cruzeiro's president.
But it is well known that Silva wants a move to Real Madrid. He has repeatedly made that clear in interviews both in Brazil and Spain. It has also become clear that Real Madrid are keen, seeing him as a potential replacement for Sami Khedira.
But Real are said to be adamant about not paying the €15 million asking price for a player that is not yet tried and tested on the continent.
They have already had an initial approach for his services rejected, now, they have had another rebuffed.
Real will not budge on their €12 million valuation for him this summer this week they were told once again that his valuation is not budging.
However, there has been a new development which Arsenal and Manchester United must take notice of. Cruzeiro offered Silva a new deal yesterday.
No deal was agreed but Cruzeiro have reportedly offered to double his salary if he signs a new deal, which, according to Marca, will also include a €24 million release clause.
So if anyone wants to save €9 million, they might want to snap up Lucas Silva as soon as possible.