Asllani lead the front line of the reconstruction work that brought the Shkodër town back to life after the earthquake of 1979, which destroyed and damaged a considerable number of buildings and houses.

He remained inside the Politburo until December 1990, when he was shifted away by Ramiz Alia, together with Lenka Çuko and Simon Stefani.

[4] Between 1982 and 1991, respectively during the tenth and eleventh legislature, he was elected representative in the People's Assembly (Alb: Kuvendi Popullor).

[6] In 1993, a special court rose in Tirana against Asllani and nine other former high-ranking officials (Besnik Bekteshi, Foto Çami, Vangjel Çërrava, Hajredin Çeliku, Lenka Çuko, Llambi Gegprifti, Qirjako Mihali, Pali Miska, and Prokop Murra).

Other co-defendants were the former Politburo members Prokop Murra, Foto Çami, Gaqo Nesho (former First Secretaries of PPSh of Vlora and Tirana), Zef Loka (former director in the Ministry of Internal Affairs), and Dilaver Bengasi, former Deputy Minister of the Interior.