Bergvall's likely departure follows Tottenham's business elsewhere in midfield this summer, with the club having already brought in Mateus Fernandes and Sandro Tonali. Nottingham Forest, who are searching for a replacement for Elliot Anderson following his move to Manchester City, have seen a £38m bid rejected but are expected to return with an improved offer of around £45m, according to BBC Sport.
Newcastle United moved first with a proposal worth £46m on Friday, which was also turned down by Tottenham, according to The Athletic. Schira's report suggests the Magpies are now prepared to significantly increase that offer, to as much as €60m, as they look to win the race for the 20-year-old.
However, other reports in England have suggested Newcastle's enthusiasm may be cooling, with the Telegraph indicating the club has other transfer targets they are prioritising at the current asking price, leaving the outcome of the chase unclear.
Bergvall is contracted to Tottenham until the summer of 2031, giving the club considerable leverage in negotiations despite his stated willingness to leave this summer in search of regular first-team football.
He made 45 appearances in his debut season after joining from Djurgardens in 2024, but his opportunities have been more limited since Roberto De Zerbi's arrival, prompting interest from elsewhere in the Premier League and beyond.
Tottenham are understood to want in the region of £50m for the midfielder, factoring in what they view as inflated Premier League fees for young, homegrown-eligible talent as well as his long-term potential.
The north London club have already recouped significant funds this summer through outgoing transfers, but are said to be in no rush to sell Bergvall below their valuation, particularly with Newcastle's interest still uncertain and Nottingham Forest yet to table an offer close to that figure.
Bergvall was capped four times for Sweden at this summer's World Cup, further underlining his growing reputation despite his club having limited his minutes domestically over the past season.