Freshman Vagramov earned first singles, doubles wins of dual-match career.
UCLA will face Loyola Marymount in Saturday's ITA Kickoff Weekend championship match (3 p.m., PT).
No. 4 UCLA will host Minnesota Friday (1:30 p.m., PT), Gonzaga/Loyola Marymount Saturday.
Bruins won seven of nine matches on third and final day in Bahamas.
Bruins swept Florida in doubles play, took four of six singles matches from Texas.
UCLA swept doubles matches versus Miami, took five of six singles tilts from Florida.