To that end, Bale also now wants manager Chris Coleman to reconsider his plan to return to club football at the end of a World Cup qualifying campaign which hangs in the balance amid a sequence of four consecutive draws.
Asked if he hoped that Coleman would stay on, Bale said: "Of course. What he has done for the team and Welsh football has been amazing.
He couldn't have taken on the job at a more difficult time, and what we've collectively achieved since then has been amazing.
"We don't want to keep on looking back at the Euros. For everyone it was incredible to be a part of that and we all want that again.
"It would mean everything to reach Russia -- we've only reached one World Cup finals before and that was back in the 1950s. Qualification could have gone better, but we're going to do everything we can to get there.
"It won't be easy and there's a lot we have to do in the group now but Chris is the man who can keep us focused and positive and show us how to get the results we need."
That Bale stands among such elevated company as Cristiano Ronaldo, Karim Benzema, Arjen Robben, Robert Lewandowski and Franck Ribery has been a testament to his extraordinary dedication and resilience since the time, only 12 years ago, when Southampton thought seriously about not even awarding him an academy contract.
The question that Southampton staff were asking was whether he would be physically and mentally tough enough. At Tottenham Hotspur, his progress was not always smooth, but he was exceptional both off the wing and then through the centre in his final two seasons.
Bale believes Spurs have laid "the foundations" to win the English Premier League at some stage in the foreseeable future. "They have a great manager and a young, hungry spine to the team," he says.
For those young players who dream of following in his footsteps, he says a willingness to absorb advice searching for continuous improvement are the keys.
"You've just got to listen to what experienced people are telling you," says Bale.
"You've obviously got to listen to what they want you to do in training and in matches and commit to improving every aspect of your game."
Bale says that specific improvements for him since playing in Spain are largely related to his close control. "I'd say that La Liga is slightly more technical than the Premier League," he says.
"There's a lot of one-touch close-range passing and I think that has definitely improved my play in small areas. I definitely feel like I'm developing. Playing with and for the best can only help you to improve. [Zinedine] Zidane is a man that demands respect -- he has won everything. He knows everything in Spanish and European football and knows Real Madrid in and out."
One specific focus has also been Bale's sleep, and a conscious attempt to regulate his habits has led to the development of an airline mattress that travels with him around Europe in order to minimise differences from his usual environment.
"The staff at Real Madrid are meticulous," says Bale. "There are smaller details like sleep that they have stressed are incredibly important. I have always been brought up with the idea that sleep is the best form of recovery.
I've spoken to a sleep expert and they have told me to always try to go to bed and wake up at a similar time every night and morning. Getting this consistency becomes difficult when you're flying back from away night matches like the game in Munich.
"When I first met the guys at Simba I mentioned this and it prompted them to go create this prototype airline seat. They've created a bed that is just as comfortable as my bed at home."
Bale has also even analysed when his energy peaks, and is thankful for football's generally later kickoffs. "I've never been a morning person," he says.
"Apparently that's largely due to my natural body clock, which is why I naturally fall asleep and wake up at later times. A good night's sleep can help performance, and apparently a few restless nights may reduce power and strength, which is a key part of my game."
