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.
Sparta Rotterdam 
Ajax 
Roma 
Parma 
Dundee Utd 
Celtic 
Valencia 
Alaves 
PSV 
Feyenoord 
Bordeaux 
Rennes 
ST Etienne 
Marseille 
Monaco 
Everton 
Chelsea 
Leicester 
Wolverhampton 
Manchester Utd 
Bournemouth 
Real Madrid 
Sevilla 
Cremonese 
Sampdoria 
Tottenham 
Liverpool 
VFL Wolfsburg 
Borussia Dortmund 
Las Palmas 
Espanyol 
Monza 
Juventus 
Lens 
Paris Saint Germain 
Fiorentina 
Udinese 
Benfica 
Estoril 
Inter 
Como 
Manchester City 
Fulham 
Nottingham Forest 
Motherwell 
ST Mirren 
Rangers 
Carrarese 
Arsenal 
Ipswich