Wales defender James Chester added it is a "blow" for his side to be without Davies and Ramsey for the country's first semi-final at a major worldwide tournament. "I think what you saw tonight was that team spirit and togetherness that everybody talks about with this team", he added.
"I think four years ago we were as far away from the position we are in as you can be. We're enjoying the journey", said Bale. They are big losses for us but they have done everything required of them.
Wales' attitude and aptitude in Lille - and throughout the tournament - not only pleased Coleman but filled the manager with pride. The winger scored three goals in the first three games of the tournament and after he played a decisive role in the team. He had a tough season, he had a good tournament and was dreaming of being a champion but no longer has that dream.
He said: "Wales got too much space in midfield and we came up against a superior force. But it's a disappointment because we had a golden chance to go to the final". "They've been outstanding, both players, but they did what they needed to do, what the team needed from them".
Wilmots took charge in May 2012 and helped lead the nation to the top of the Federation Internationale de Football Association world rankings past year, but has come under scrutiny for perceived mis-management of Belgium's golden generation.
"Everything their country has asked of them they have given it so, so they can be very, very proud". We are confident in the players we have.
The world's second-ranked side after Argentina, Belgium were tipped as the dark-horses at the Euro 2016 as their team boasts of several club stars.
"We've been working for it for many years now, putting in the hard work and it's about nights like this against Belgium where we've obviously got the rewards and taken our opportunity as a team, and as a nation".
Wales must take on Portugal without suspended pair Ben Davies and Aaron Ramsey.
James Moore, 24, originally from Bridgend, said: "I was just amazed when we qualified, I was amazed when we topped the group and I'll be amazed when the lads make history by beating Belgium".
"Then we started to control the game and we did for the first half really".