The 27-year-old, who has replaced Petr Cech as first choice for his country, recently extended his deal with the Swiss club until 2021 having helped them to their seventh title in a row last season.
But he still makes no secret of his desire to play in the Premier League, with Sunderland a possible destination.
Vaclik revealed: “I love England. I love the culture of the football here and everything around the Premier League – the atmosphere in the stadiums and even out of the stadiums in the cities.
“Since I was a child I have had a dream to play in the Premier League as I think it is the most difficult league for the goalkeeper. I would like to see if I can play on this level. It would be nice to play here.”
Vaclik is in England for Basel’s Champions League tie against Arsenal, and will face his former mentor Cech on Wednesday night.
The 27-year-old has replaced his hero as the next long-term national number one after the former Chelsea man announced his international retirement back in July following Euro 2016.
He added: “Petr has helped my career a lot.
“But the pressure is more now as I know everyone will compare me with him and I do not want people to have opportunity to say ‘we are missing Petr’.
“I have replaced other keeper legends at my clubs, so I hope I will do it well.”