Whats the wall thickness? Foam laminated?
If you are laminating the sheet foam before press (I would assume its EVA or PE foam) than make sure you use a 4 way stretch knit, not a woven. Wovens and nonwovens (PUs) typically have a lot less stretch when compressed (some nonwovens can have a knit substrate or backer allowing more stretch). THis will cause your part to have less definition and easier delamination.
Keep in mind the part will be warm once its pressed - depending on the overall size and wall thickenss it may need to go into a form to keep shape while it cools.
If you are laminating sheet foam you can do a “cold” compression (laminated foam is still headed before being pressed) - typically less definition
If you are using raw foam in a substrate/pellet form you can do a “hot” compression (“injected”) - typcially more definition