Curvelo was optioned to Triple-A Round Rock after Sunday's 10-0 win over Cleveland.
Curvelo will head back to the Triple-A level after being called up June 1. The 25-year-old appeared in three contests with the big-league club following his promotion, combining to give up two runs (one earned) on four hits while striking out one batter over 2.1 innings. Curvelo will now wait for his next chance to join the big-league club down the road this year.