England were on top for most of the game and were well worth the lead earned by Dier’s brilliant freekick after 73 minutes.
And the Spurs midfielder says: “I think we played very well the whole game and to give away the draw like that at the end is very disappointing.
“We didn’t see it out in the right way but we didn’t lose.
“We have got to pick ourselves up and go again. I thought our level was extremely high... we did everything right.”
The equaliser means England have failed to win their opening game in any of their nine appearances at the European Championship and put Wales in pole position in Group B after their earlier 2-1 win over Slovakia.
Three Lions boss Roy Hodgson didn’t want to sound too negative about Russia’s goal came after they put pressure on diminutive fullback Danny Rose.
He says: “It was an unbelievably good goal and I don’t think it came from any signs of mismanagement from us. Hopefully we’ll be able to put the memory of this last-minute goal behind us.”