Private Blood Tests are available in Wrexham through Blue Horizon Medicals at the Wrexham Spire Hospital. Croesnewydd Road, Wrexham, Clywd. LL13 7YP. This private and professional clinic blood test location can test patients of ages 16+ but does not have freezing facilities. As phlebotomy is included and the entire process is managed by professionals, this is a VIP blood test, not a DIY blood test.