The captain scored on a header in the 81st minute to help the Lights defeat Rio Grande Valley FC in front of 6,752 fans at Cashman Field on Saturday.
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The Las Vegas Lights totaled 12 goals in their five June games after scoring just 11 in their first 10.
Cuellar, who has trained with the Lights for the last three weeks, will play for the Mexican national team in two friendlies against the U.S. on Thursday and Sunday.