Simulambo first featured for amateur side Livingstone Jets and played in the Zambia Schools squad leading to a call-up to the Zambia Olympic team, where he was spotted by First Division side Lusaka Tigers and when he completed school he moved to
Lusaka and joined them in January 1972. At Tigers, Simulambo formed a good partnership with Stanley Phiri, Leonard Mwiinde and Joseph Njuka and in his first season, the team finished in a comfortable mid-table position. In October 1972, Simulambo's former school master organised a trip to
England where he spent six weeks training with Division I side
Leeds United’s youth team and according to Simulambo, he impressed Leeds coach
Don Revie whose recommendation that the club should sign him was turned down by the team’s board. Soon afterwards, he was snapped up by
Zambia Army FC who were only in their second season in Zambia’s top flight and he helped the team to its first ever league title ahead of established teams like
Mufulira Wanderers,
Roan United and
Kabwe Warriors. The team, which would later change its name to Green Buffaloes, had the likes of
Dick Chama, Obby Kapita, Milton Muke, Francis Kajiya, Emmy Musonda, Felix Chalwe, Donwell Yobe and Pele Kaimana, and was a force to reckon with, winning the
league three times in a row including 1974 when they ended the season unbeaten. It was here that Simulambo earned the nickname ‘Minister of the midfield’ due to his usual dominance in the middle of the pitch. He joined Kabwe Warriors and scored twice on his debut, a 3–1 win over Mufulira Wanderers in a league match on 1 October 1980, which came about two weeks after leaving the army. He did not stay at Warriors for long as he left to join promotion side Profund Warriors in February 1982. At the end of the season, he was on the move again, moving to
Mbabane Highlanders in
Swaziland and is believed to be the first foreign player to have played there. He won several titles with Highlanders and his skillful play earned him the nickname ‘Be Good,’ with the fans willing him to not get sent off or show way ward discipline as the team benefited greatly with him on the field of play. Simulambo also opened the way for his former teammates at Profund Warriors Texan Phiri, Ronald Chinku, Fred Kunda and Chola Mulundu to play in Swaziland. ==National team==