Cardiff found themselves a goal down after only three minutes in Albuquerque overnight when Ken Akamatsu put the home side in front.
But City came back in the second half with Omar Bogle's direct free kick to earn the draw.
City now move on to Canada where they face La Liga side Real Valladolid on Saturday night in Edmonton.
— BLUEBIRDS (@NotOfficialCCFC) July 19, 2019
Cardiff City: Etheridge, Peltier, Morrison, Brown (Coxe 70), Bennett (Cunningham 60), Vaulks (Waite 75), Ralls (Nelson 59), De Cordova-Reid (Damour 59), Mendez-Laing, Murphy (Bolger 70), Ward (Bogle 52).