Mauricio Pochettino is eager to bolster his squad in the summer transfer window as he continues to build a team capable of challenging for the Premier League title and the Champions League.
But it seems the north London outfit have now pipped Jose Mourinho to the 22-year-old.
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Website Turkish Football claim Spurs have reached an agreement with Galatasaray over his transfer in a deal worth £12.5million.
The report claims talks have been ongoing between the two parties, although a formal bid has yet to be made.
Tottenham also still need to agree personal terms with Bruma, who is understood to be keen on a move to the Premier League with just over year left on his contract.
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News of Spurs pressing ahead for a deal this summer will be a big blow to Mourinho’s plans.
The 54-year-old is thought to be a big fan of the Portugal Under-21 star and had earmarked him as a summer target.
Bruma, who has netted eight goals for Galatasaray this season, has helped his side to fourth in the table.