Liverpool like Bayer Leverkusen's Florian Wirtz but the Premier League champions face fierce competition and Bayern Munich are still leading the race.
The 22-year-old is one of Europe's most sought-after attackers and Mail Sport reported on Tuesday how his parents were in England for talks with Manchester City.
There remains an expectation that Wirtz will remain in Germany next season but both Liverpool and City will push to sign him.
Wirtz's parents travelled to England on Tuesday - but didn't speak to Pep Guardiola, with the club's manager out of the region ahead of the FA Cup final this weekend.