The Potters are embroiled in a relegation battle at the foot of the Premier League and sit just three points clear of 18th-placed Wigan, who have a game in hand on their rivals, with six matches remaining in the 2012-13 campaign.
Tottenham winger Bale is attracting interest from the likes of Manchester United and Real Madrid with his outstanding performances this season and Pulis is adamant that the Welshman, and Madrid superstar Ronaldo, would be a perfect match for Stoke.
"If I had an open chequebook and someone said you can have Cristiano Ronaldo and Gareth Bale, people of that ilk, fine - they would suit my style brilliantly. But we're Stoke City and we work within a budget we can afford," the Potters boss told reporters.
|8/1||Stoke City are 8/1 to be relegated from the Premier League with Coral|
"I want us to get the ball out to players who can excite the crowd. I want to encourage wingers to run down the pitch and get crosses in and I like to see centre-forwards in the box putting those chances away.
"But it's about who you can afford to bring in. You don't just wake up one morning and say 'We're changing our entire style of playing today.
"It takes time for a club to evolve - three, four, maybe even five years in some cases. You can't just sign two players and say we're a different side now. It's like turning the QE2 - it has to be done gradually."