Precompact Ramsey expansions for strong amalgamation classes with EPPA

Establish whether every strong amalgamation class with the extension property for partial automorphisms has a precompact Ramsey expansion.

Background

The survey formulates this as a conjecture motivated by the relationship between EPPA, amenability, and Ramsey expansions. The class of finite groups is identified as a possible counterexample because it has EPPA but no known Ramsey expansion.