Goffin, who led Belgium over Australi 3-2a in the Davis Cup semifinals last weekend and won the Moselle Open three years ago, put on a dominant display on his serve, dropping just two points on his first service in the final set.
He will be up against local Benoit Paire in the next round at the indoor tournament after the Frenchman eased past Marcel Granollers 6-1, 6-2. No. 4 Gilles Muller was beaten by Nikoloz Basilashvili of Georgia. 6-4, 6-4.
Fifth-seeded Mischa Zverev of Germany passed Henri Laaksonen 6-4, 6-4 and will take on lucky loser Kenny De Schepper in the quarterfinals.