Manchester City are interested in signing both of them, whilst Juventus are interested in Lucas and Barcelona are keen on signing Theo.
It is reported the Premier League side are ready to pay the release clause of both the brothers, and could also triple the wages of Lucas.
Atletico Madrid, however, are not keen on selling any of them, and want to increase their release clauses.
Lucas reportedly has a release clause of €25m, whilst his brother has a release clause of €6m.
The elder brother featured in important games for Atletico Madrid last season, and is said to be happy in Madrid, but could consider an offer from elsewhere.
Lucas featured in 16 games for Atletico last season, but his brother is yet to make his debut for the senior team.