West Ham and the Metropolitan Police confirmed on Wednesday that they were investigating an allegation of racial abuse directed at Liverpool striker Mohamed Salah.
Gylfi Sigurdsson got one back for Everton in stoppage-time.
"Fabinho is a brilliant player. To have a good footballer in that position when you have the ball is great," said Klopp.
But the early days of 2019 suggest their uncharacteristic December collapse is firmly behind them.
Van Dijk, meanwhile, became the first defender to win the player of the month award since Tottenham Hotspur's Belgium's Jan Vertonghen achieved that feat in Mar. 2013.
Liverpool manager Jurgen Klopp hit out at the referee and Neymar as his side slumped to a 2-1 defeat to Paris Saint-Germain that leaves last season's runners-up dangerously close to an early Champions League exit.
Paris Saint-Germain took a big step towards qualifying for the Champions League knockout stages after Neymar helped sink Liverpool in a blistering 2-1 win at the Parc des Princes.
It has been a month marred by off-field controversies for Paris Saint-Germain, but it is the fitness of Kylian Mbappe and Neymar that casts the longest shadow over the French club ahead of Wednesday's Champions League crunch clash against Liverpool.
Egypt head coach Javier Aguirre feels Mohamed Salah should leave Liverpool within one or two seasons if the Premier League giants do not start winning trophies soon.
Cristiano Ronaldo's Juventus will next take on Spal on Saturday in their next Serie A game
