The London side have lodged an offer for the Swansea City left-back, reportedly in the region of £4 million, with the Dutchman insisting he has the quality to play in the top four
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Ben Davies has established himself at left-back in Michael Laudrup's side and Taylor has become frustrated with a lack of first-team football, with a reported offer of £4m made for the London side.
Meulensteen revealed that Taylor caught his eye when he was on the coaching staff at Manchester United and the Dutchman is determined to get his man.
"We have put a bid in. It's on the table. It's simmering," Meulensteen told reporters.
"I rate him. I rated him when I was at United. The boy was very unfortunate.
"He had that horrific injury at a time when he was really playing at his best and he had top-four qualities."