Jannik Vestergaard's towering header gave 10-man Southampton a point after another moment of magic from Manchester United new boy Daniel James looked to have put them on course for victory at St Mary's.
Southampton boss Ralph Hasenhuttl, speaking to BT Sport: "We showed good mentality today after the red card. It was not easy. But with all the hard work, a man less and a third game in a week it is an unbelievable performance mentality from my team. I can only raise my hat to them. It was fantastic today.
"In the first half we showed a really intense performance. There was one action where we went 1-0 down. The players believe in what we are trying to do and showed they are always trying to be positive. That was the key to the success today."
Manchester United manager Ole Gunnar Solskjaer, speaking to BBC Sport: "We need some scrappy goals as well. We should have won today - we had the game where we wanted it [but] we were careless in our finishing and our last pass.
"We built pressure, we got round them, created good openings but the clinical edge wasn't there. We should have won, again.
"Daniel James is fantastic - he has a great attitude, he wants to learn, he is hungry. He is at the start of his career but with his habits he will have a good one. We want to help him become the finished article."