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Abstract  In this paper we describe logarithmic moduli spaces of pairs (S, D) consisting of a minimal surface S of class VII with second Betti number b 2 > 0 together with a reduced maximal divisor D of b 2 rational curves. The special case of Enoki surfaces has already been considered by Dloussky and Kohler. We use normal forms for the action of the fundamental group of S\D and for the associated holomorphic contraction $$({\mathbb{C}},0)\to ({\mathbb{C}},0)$$ . [ABSTRACT FROM AUTHOR]