I don't think that's possible in the near future. That's because the Vatican with it's small number of population which is composed mostly of religious people, are there particularly for running the affairs of the Universal Church, praying and helping Christians around the world and promote the Gospel values to nations and to bring hope. However those keen athletes can represent Christ in every sports they ar into. Consider the story about the Red Sox Mike Lowell who has been diagnosed with cancer and recently confesses that it was through his faith in the Lord as Catholic that saved him from this deadly desease.
Here's what I've extracted from their site:
Catholic Athletes for Christ (CAC) serves Catholic athletes in the practice of their faith and shares the Gospel in and through sports. We work with athletes at all levels of sport in an effort to promote a Catholic sports culture. CAC was formed in response to Pope John Paul II's call to evangelize the world of sports and his establishment of the Vatican's Office of Sports.
As St. Paul's epistles teach us, Christ is God’s true athlete and we are made perfect when, and only when, we imitate Him. John Paul II advises us that, "Every Christian is called to become a strong athlete of Christ, that is a faithful and courageous witness to His Gospel." We invite you to join us as an "athlete for Christ."
Founder of Catholic Athletes for Christ
The mission of Catholics Athletes for Christ (CAC) is to serve Catholic athletes and share the Gospel of Christ in and through athletics.
The goal of Catholic Athletes for Christ (CAC) is to provide an integrated network of sports oriented clergy and lay people to serve Catholic athletes, coaches and staff in the practice of their faith and to utilize the unique platform given to them to reach the world for Jesus Christ and His Church.
• To provide solid Catholic role models
• To work with the Church leadership and Catholic organizations
• To minister to Catholic athletes, coaches and staff
• To reverse the moral crisis in sports today
• To create a network of Catholic athletes, coaches and staff
• To organize sports conferences, pilgrimages, retreats and days of reflection