The Red Devils needed to come back from behind twice, as first Marouane Fellaini and then Daley Blind levelled matters to secure a point at the The Hawthorns.
Yet despite being disappointed at not earning all three points, United coach Louis van Gaal said he felt it was his side’s best display of the season thus far.
"I'm very disappointed because we played our best match of the season and the result is not good enough," the former Netherlands boss told Sky Sports.
"I have to also be happy because we created a lot of chances and only two shots from West Brom were goals.
"We gave it away because of our individual errors. That's a pity because you can give a new start when you win here, and that was possible I think."
The Dutchman decided to tinker with his tactics, deploying four defenders as opposed to his usual back three, and was pleased that his players are slowly coming to grips with the new philosophy he is trying to instil at Old Trafford.
"I'm looking for balance and maybe with this formation, but with the same philosophy, we could do better," the Dutchman mused. "I've seen in the training sessions that we are better now.
"The players understand the philosophy more with this formation. And I've seen it again today and that's why it's such a pity that they don't have the result they deserve."
United, who have now slipped to sixth position in the Premier League standings, next take on log-leaders Chelsea on Sunday afternoon.
When asked if his new formation will be able to sustain the rampant Blues, van Gaal replied, "You never know, but I have a lot of confidence."