Tiburcio Vasquez Health Center, Inc. Share: Healthcare Tiburcio Vasquez Health Center, Inc. Visit Website 33255 9th Street Union City, CA 94587 (510) 471-5907 (510) 471-9051 (fax) About Map About Provides free and low-cost care with dignity and respect to hundreds of uninsured Alameda County residents. What's Nearby? Distance: 5 10 15 20 25 50 mi.