The Netherlands international was an imperious performer across his 22 appearances for the Reds after joining from Southampton on January 1.
Along with compatriot Georginio Wijnaldum, the centre-back returned to Melwood for pre-season today – his 27th birthday – and took fledgling steps towards the new campaign.
His aims for 2018-19 are simple: to be even better than last term.
“Like I said when I arrived, I want to achieve everything possible with this beautiful club,” Van Dijk told Liverpoolfc.com after completing a programme of stretching exercises, lactate test and gym session at the training ground.