In November 2023, AD Global Sports, together with Andy Murray acquired the Padel Team AD/vantage part of the Hexagon Cup which took place in Madrid in February 2024.

In 2025 Team Ad/vantage brought on Anthony Joshua as a Co-owner and also partnered with the Lawn Tennis Association LTA to help accelerate the growth of Padel throughout Britain.

[7] Vallverdu has also worked alongside Ivan Lendl, Andre Agassi, Magnus Norman and Jamie Delgado.

[6] Under Vallverdú's guidance in May 2015, at the age of 29, Czech player Tomáš Berdych reached his highest career singles ranking of No.

[11] After electing to leave the Players Council for a short period of time, Vallverdu was re-elected by the body of ATP Coaches to serve as the Coaches' Representative in the newly formed ATP Player Council of 2021 which included Andy Murray, Rafael Nadal and Roger Federer.

[13] In August 2021, after the cancellation of the Asia Swing, Vallverdu instigated the collaboration between the ATP and the San Diego Barnes Tennis Centre which was then allocated a one-year 250 tournament license to be held 27 September - 3 October 2021 as a lead up to the Indian Wells Masters which had been postponed to October due to Covid.

[14][15][16] Vallverdu took on the role of Managing Director and the tournament attracted players including Denis Shapovalov, Andrey Rublev, Kei Nishikori, Dimitrov and Murray.

With 8 of the top 20 players attending and the ranking cut off being 42 to get in the main draw it was the 2nd most competitive ATP 250 all season since Doha.

[16] In 2022, with the Asia swing still cancelled due to Covid, Vallverdu again instigated the collaboration between the ATP and the San Diego Barnes Tennis Centre which was then allocated a second one year 250 tournament license to be held post US Open 17-25 September Vallverdu again took on the position of Managing Director.

[citation needed] In 2023, Vallverdu took on the role of Tournament Director of the Washington D.C. Mubadala Citi DC Open.

In 2023, Vallerdu took on the role of Co-Tournament Director of the 2023 Next Generation ATP Finals to be held in Jeddah, Saudi Arabia.

He coached Murray, organised practice sessions and served as liaison with Darren Cahill and Sven Groeneveld.

"[22] Vallverdú was also selected to be the head coach of the British men's tennis team for the London Olympics 2012, in which Murray won the Gold medal.

It was an immediate success as Tomáš Berdych reached his second Australian Open semifinal after beating Rafael Nadal, but then losing to Andy Murray in a tense match 6-7 (6-8) 6-0 6-3 7–5.

[29] Dimitrov under Vallverdu’s guidance made his first ATP Final since the ABN AMRO World Tennis Tournament Rotterdam 2018 at the 2023 Gonet Geneva Open.

[30] At the 2023 US Open Dimitrov beat Andy Murray in straight sets to advance to the third round during the second-round match.

[37] After parting ways with Grigor Dimitrov, Vallverdú joined Stan Wawrinka's coaching team before the start of the 2019 grass court season.

[39] In 2025 Team Ad/vantage brought on Anthony Joshua as a Co-owner and also partnered with the Lawn Tennis Association LTA to help accelerate the growth of Padel throughout Britain.

[44] The highest individual bid was made for two Wimbledon Final tickets and the chance to hit with Grand Slam Champion Murray and reached close to 52,000 USD.

Vallverdú has played for Venezuela in eight matches over six ties, including a semifinal appearance in Group I of the Americas Zone in 2005.