On 2 February 2015, Lystsov joined Portuguese champions S.L. Benfica on a season-long loan from União de Leiria, and with a buyout clause, being assigned to the former's reserve team in LigaPro.[2][3] He debuted for Benfica B against Académico de Viseu on 8 February.[4] Later, on 31 May, União Leiria announced that he had signed a five-year contract with Benfica.[5] On 6 July 2016, he was loaned out to Primeira Liga side C.D. Tondela for one season.[6] He then returned to Benfica B in the following season.
On 3 August 2020, he returned to Lokomotiv Moscow, signing a 4-year contract.[8]
On 23 June 2021, he joined Akhmat Grozny on loan for the 2021–22 season.[9] On 15 July 2022, Lystsov's contract with Lokomotiv was terminated by mutual consent.[10]
On 23 February 2023, Lystsov signed for Russian Premier League side Khimki.[11] On 1 July, he left the club, after his contract had expired.[12]
On 14 September 2023, Lystsov returned to his former club União de Leiria, now competing in the Liga Portugal 2. He signed a one-year contract.[13]