The 25-year-old's long-term future with the Serie A outfit has come into question in recent months amid interest from a host of European clubs including Paris Saint-Germain, Liverpool and Chelsea.
Spurs boss Antonio Conte is believed to be keen to recruit at least one new central defender ahead of the 2022-23 campaign, with Bremer on the club's list of targets.
According to Corriere Granata, via the Daily Mirror, Tottenham have held talks with the Brazilian's representatives ahead of making a £30m bid.
The report adds that Spurs could face stern competition from Italian giants AC Milan and Inter Milan for the defender, who has two years remaining on his contract.
Tottenham have also been strongly linked with Inter's Alessandro Bastoni, but the defender's agent has ruled out a potential switch to the Lilywhites, stating that his client is happy at San Siro.
Monaco 
Stade Brestois 29 
Bordeaux 
Nimes 
Bayern Munich 
FC Augsburg 
Paris Saint Germain 
Toulouse 
CSKA Moscow 
FC Rostov 
Leicester 
Chelsea 
Valencia 
Betis 
Dynamo Kyiv 
Chornomorets Odesa 
Verona 
Inter 
Bayer Leverkusen 
FC Heidenheim 
Borussia Dortmund 
SC Freiburg 
VFL Wolfsburg 
Union Berlin 
Arsenal 
Nottingham Forest 
Everton 
Brentford 
Spartak Moscow 
Lokomotiv Moscow 
Rangers 
Dundee Utd 
Atletico Madrid 
Alaves 
Lens 
Marseille 
Ingulets Petrove 
Shakhtar Donetsk 
AC Milan 
Juventus 
ST Malo 
Manchester City 
Tottenham 
Eintracht Frankfurt 
Werder Bremen 
Girona 
Espanyol 
Feyenoord 
Heerenveen 
ST Etienne 
Montpellier 
Grenoble Foot 38 
Heart Of Midlothian 
Celtic 
Reims 
Lyon 
PSV 
Groningen