The Whites have been frequent visitors to The Racecourse Ground this season as they continue to monitor defensive starlet Craig Morgan.
Whilst Morgan remains high on Peter Reid's list of potential buys, Edwards has emerged as another target after a string of eye-catching performances.
The Trinidad & Tobago star moved to North Wales in 2001 from Defence Force in his homeland.
The 24-year-old has since made over 100 appearances for The Red Dragons and is now attracting a great deal of attention with his displays.
Newcastle United are another Premiership outfit understood to be monitoring his progress and now Leeds have joined the chase.
The player's agent Mike Berry said his talented client is concentrating on his duties with Wrexham.
"Carlos is a class act," he told planetfootball.com.
"His time will come, but he needs to concentrate on playing with Wrexham right now."
