The team has won the Bonaire League on 11 occasions, most recently in 2018–19, as well as twice finishing top of the unofficial transitional championships.

Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

Real Rincon competed in Concacaf international club competition for the first time in 2018 during the inaugural edition of the Caribbean Club Shield.

In the tournament Rincon placed third, winning the bronze, after topping its group in the first stage and defeating SV Deportivo Nacional of Aruba in the third-place match.

[3] Results list Real Rincon's goal tally first.