Bergvall is preparing for his first season as a Tottenham player after completing a transfer from Swedish club Djurgarden.
Spurs reached an agreement with Djurgarden over a £8.5m deal in February, before the 18-year-old officially became a Tottenham player earlier this month.
Bergvall, who has been handed the number 15 jersey, made his first Tottenham appearance in a 5-1 win over Hearts, before starting the next friendly fixture against Queens Park Rangers on July 20.
However, the youngster only played 26 minutes minutes at Loftus Road, before he had to be replaced by Dejan Kulusevski due to an apparent injury issue.
Bergvall alleviates injury concerns
Bergvall has alleviated any concerns surrounding his fitness, insisting that the early withdrawal was just a precautionary measure.
"Everything is alright," the midfielder told reporters. "It was just to be sure, it was a little bit with my bone here, but it was nothing. It was just to be sure that it was nothing."
The Sweden international was ultimately deemed fit enough to play the second half of Saturday's 3-2 victory over J1 League champions Vissel Kobe.
Pedro Porro and Son Heung-min both got on the scoresheet, before 16-year-old Mikey Moore netted an 88th-minute winner in Tokyo.
Bergvall outlines trophy ambitions
Tottenham have not won a major trophy since lifting the League Cup in 2008, but the club's lack of silverware has not stopped Bergvall from setting out some lofty ambitions.
When asked about his goals, Bergvall said: "My first goal is to make my Premier League debut and then to come into the team and win something, to have a good season and qualify for the Champions League and also the goal is to win the league."
Bergvall will hope to get some more valuable minutes under his belt when Spurs face a K-League XI in Wednesday's friendly in Seoul.
Ange Postecoglou's side will conclude their pre-season programme with back-to-back friendlies against Bayern Munich, with the first match set to take place in Seoul on Saturday before they meet again at the Tottenham Hotspur Stadium on August 10.