He was discovered at a property in New Road at about 10:20 BST on Tuesday.
Detectives initially said the death was being treated as "unexplained".
A post-mortem examination has been carried out, but officers said they are withholding the cause of death until they have the blood test results.
Police investigating the death of a man aged in his 50s in Wrexham said they are awaiting toxicology test findings.