Booth have signed six-year deals taking them to 2029.
The addition of left-footed centre-back Van de Ven is a major coup for the club and helps satisfy the demand of new boss Ange Postecoglou to bring in defensive reinforcements.
Spurs have secured the services of Van de Ven in a deal worth an initial 40 million euros ($A67 million), with the final fee expected to climb to around 50 million euros ($A84 million) in add-ons.
The 22-year-old started his career with Volendam before leaving his homeland to join Wolfsburg in the summer of 2021.
Van de Ven completed his medical at the club's Enfield training base on Monday and is likely to be part of the travelling party to Barcelona for Tuesday's friendly against the Catalan club.
Postecoglou refused to directly discuss the defender after the 5-1 victory over Shakhtar Donetsk at the weekend but has been open about the need for new centre-backs throughout pre-season.
Ben Davies has played the majority of minutes on the left side of the back-four system used by the Australian head coach, but van de Ven's pace will be a welcome addition to a team that will also use a high defensive line this season.
Spurs retain an interest in former loanee Clement Lenglet and Fulham's Tosin Adarabioyo, who only has one year left on his deal.
Veliz, 19, joins Postecoglou's squad after making 62 appearances and scoring 19 goals across all competitions for Rosario since his debut in 2021.
He also scored three goals for Argentina at this year's U-20 World Cup, where the South Americans reached the last 16.
Local media reported Spurs paid around 17 million euros ($A29 million) plus add-ons to the Argentine side, who completed the most expensive sale in their history.
The signings follow those of James Maddison, Pedro Porro, Guglielmo Vicario, Manor Solomon and Ashley Philips.
Spurs open their Premier League campaign away at Brentford on Sunday.
- with Reuters
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