He returned to mountaineering, and since 1999, has led more than 15 expeditions, including the first all-Singapore ascent of Argentina's Aconcagua (6962m), and the world's third solo of Ojos del Salado, the highest volcano in the world (6893m). In summer 2005, he led the first Southeast Asian team to climb virgin peaks in the Tien Shan mountain range on the Kazakh-Kyrgyz border. The team summitted three peaks, now officially recognised as Temasek, Singapura, and Ong Teng Cheong peaks. In 2009, he formed another team for the Tien Shan, summitting three more virgin peak, the highest and hardest being Majulah Peak (5152m). His last virgin peaks expedition was to the Qinghai region of China. Lim and his fellow mountaineer partner, Mohammed Rozani bin Maarof, summitted a 6000-metre virgin peak and named it Sangay Ri. In 2016, he attempted a 4 km ridge traverse encompassing two virgin peaks in the Manang region in Nepal; and continues to climbs and ski worldwide