With the revival of Karius and the addition of Van Dijk to the Liverpool backline, the Reds look a lot stronger at the back, something which hasn't always the case since Klopp has been in charge.
Danny Ings, given a rare start by Klopp, found James Milner out on the left, and his cross was narrowly headed wide by Dominic Solanke, with the U20 World Cup victor still looking for his first goal for the Reds. Most obvious, Everton generally lacked quality and Liverpool lacked their usual lustre.
Toffees stopper Jordan Pickford will have done some good to his chances of earning the No. 1 jersey in Russian Federation following a string of saves, pulling off four in total to keep Everton level. The Englishman was making his first start of the season after recovering from injury.
The visitors were quicker out of the blocks for the second half and enjoyed the majority of possession but failed to get in a meaningful effort on goal.
Wayne Rooney's withdrawal from midfield appeared to improve Everton's attacking play in the second half, but Allardyce cops some blame for a limp and uninspired display from the hosts.
Paris-Roubaix rider has 'life-threatening condition'
Terpstra, whose Quick-Step team had been expected to dominate the race, said nothing could have been done to stop the Slovak. The 23-year-old's death was confirmed by his team Veranda's Willems-Crelan in a statement on their Twitter account.
He wasted another golden opportunity in the closing minutes from Theo Walcott's delivery, with Coleman agonisingly close to tapping in at the back post.
But the goal would not come and both sides had to settle for a draw. Out of the 22 league clashes since October 2010, Liverpool has beaten Everton 21 times.
Five of the last six Premier League meetings between these sides at Goodison Park have ended level.
Games in all competitions in which Liverpool are unbeaten against Everton (W8 D9) - their longest run without defeat against their Merseyside neighbours.
With Liverpool playing a weakened team, including the splitting of their favoured front three of Mane, Firmino and Salah, it was Everton's best chance of grabbing three points in years.
Sam Allardyce has won just five of his 28 Premier League games against Liverpool as a manager (D8 L15).