Moisturizer for dry oily skin

You read the title right.

I am applying tretinoin on my face every night so naturally it tends to become very dry. Without putting a moisturiser my skin will break.

The problem is, I naturally have a very very oily skin. And what happens is after the shower the skin is super dry, I put moisturiser, and then some hours pass and my natural oil comes through and my face starts to look disgusting, super shiny and greasy. This is a problem specially now that summer is upon us and sweat is added to the mixture (I live in Europe).

I'm currently using CeraVe products to moisturise my face, and I realize that maybe this is not the right call for my face. Do you guys know a good and cheap alternative I can use and that I'm able to get in Portugal?

Kind regards