In 1799, as part of the Army of the Danube, he crossed the Rhine near Basel. After the Battle of Ostrach, Goulus supported the retreat of part of the army from Pfullendorf. Later, he orchestrated a complicated crossing of the "Oberhin", the High Rhine, by the convent of Paradies, and took the village of Buzingen at bayonet point. He also participated in the second Battle of Stockach on 3 May 1800, the Battle of Messkirch of 5 May 1800, and the Battle of Memmingen on 10 May 1800, where he was wounded by gunshot that went through his right cheek. After the peace in 1801, he was assigned command in Styria, and then in the Haute-Garonne (10 military division).