After an initial group started work on Saturday, the next batch of the squad will return after being afforded extra time off due to international involvement with their respective nations earlier in the summer.
Included will be new signings Alexis Mac Allister and Dominik Szoboszlai, who will begin life as Liverpool players following their transfers to the club.
Harvey Elliott and Curtis Jones will return later in the summer after helping England to victory in the U21 European Championship final on Saturday evening.
The Reds have five pre-season friendlies lined up, starting with Karlsruher SC and Greuther Furth in Germany.
The squad will then head to Singapore to take on Leicester City and Bayern Munich, before returning to the UK and playing a fixture against SV Darmstadt 98 at Deepdale.
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Players reporting back for duty on Tuesday: Trent Alexander-Arnold, Alisson Becker, Luis Diaz, Cody Gakpo, Jordan Henderson, Diogo Jota, Caoimhin Kelleher, Ibrahima Konate, Alexis Mac Allister, Andy Robertson, Mohamed Salah, Dominik Szoboszlai, Kostas Tsimikas, Virgil van Dijk.