The Beeville boys led 6-3 going into the bottom of the sixth. Two unearned runs crossed the plate for the home team to make it a 6-5 contest, with the Trojans still out front.
Rockport-Fulton continued the rally in the bottom of the seventh and pushed across another unearned run to tie the contest at 6-6.
The teams went scoreless over the next three and a half of frames before the Pirates got the winning run to capture a 7-6 victory in the bottom of the eleventh inning.
No further details of the game have been provided.
The Trojans faced off against state-ranked Moody on Tuesday night at home and will also host the Ray Texans on Thursday at Joe Hunter Field. The first pitch is scheduled for 7 p.m.