The number three
Trei is a modern variation of the name Trey, which originated as a nickname for a third-born son or a son who shares the same name as his father and grandfather. It is derived from the Middle English and Old French word for the number three.
Less common today
Trei isn't in the latest US Top 1000. It last peaked at #3,041 in 1993.
American college football player
American football coach
US births per 5-year period, 1990βpresent (SSA data).