The Bulls were South African rugby's last remaining hope in the Challenge Cup, but they fell at the quarterfinal hurdle against a ruthless Edinburgh side at the Hive Stadium on Saturday. The Scottish hosts raced to a 24-7 lead in the opening stanza, aided by a yellow card to Bulls scrumhalf Zac Burger.
"You can't play against an international team with the calibre of players they have with 14 men," White told the press aferwards.
"During that period, we conceded 21 points. Once you are 7-24 down, it makes it very difficult.
"But I am still very proud. At 7-31, we could've quite easily have gone the other way. We've seen how a lot of teams at the back end of this competition have blown other teams away.
"And to literally get turned over in the last play of the game in the [opposition] 22 [metre area] is obviously something I'm really happy about.
"But I just stress that I'm obviously very disappointed because we came here with a group that I thought would be good enough to beat Edinburgh."
The Bulls now turn all their attention to the United Rugby Championship, where they are well-placed in third on the table.