The Reds have already secured the signing of Ibrahima Konate from RB Leipzig, while Joe Gomez and Virgil van Dijk are working their way back from long-term knee injuries.
According to Calciomercato, the Merseyside giants could further bolster their defensive options.
The report adds that Walukiewicz has been identified as a potential target by Liverpool, with the 21-year-old defender potentially available for as little as £8m.
The Polish centre-back joined Cagliari from Pogon Szczecin in 2019 and has since gone on to make 37 appearances for the Serie A outfit in all competitions.
Walukiewicz is contracted to Gli Isolani until 2024.