A collection of top-10 tennis players sent a second letter to the four Grand Slam tournaments to push for a greater share of revenues — aiming to rise from the current 16 per cent to 22 per cent by 2030 — contributions to pension, health and maternity benefits that would go from zero to $12 million annually by that same year, and greater say via a new player council.

This letter, signed by stars such as Aryna Sabalenka, Iga Switek, Coco Gauff, Carlos Alcaraz, Jannik Sinner and Jack Drapper, but not, unlike the original letter sent by players including Novak Djokovic to the Slam events in March, dated July 30.

The second letter, which was seen this week by AP, set out specific benchmarks for ways in which the sport’s four most prestigious and profitable tournaments could offer more money and influence to the athletes.

The players are working with Larry Scott as a consultant; he used to be the chairman and CEO of the WTA women’s tennis tour and, later, ran the Pac-12 conference in American college sports.

There have been meetings among Scott, some players and the leaders of the All England Club, which runs Wimbledon; the French Tennis Federation, which runs Roland-Garros; Tennis Australia, which runs the Australian Open; and the U.S. Tennis Association, which runs the U.S. Open.

All four were asked to reply to the July 30 letter, and all four did.

The USTA’s response, dated August 18 and obtained this week by the AP, was signed by Brian Vahaly, the group’s interim co-CEO, and Stacey Allaster, the USTA’s chief executive of professional tennis, who just completed her last U.S. Open as tournament director.