Livermore scrambled home at a corner for his first goal at the club before Rondon headed in Chris Brunt's free-kick in the 88th minute.
"We need to be honest with ourselves and everyone was".
West Brom held Liverpool to a 0-0 draw in the reverse league fixture this season and also knocked Klopp's team out of the FA Cup in the January.
"Hopefully he does not have regrets and we wish him all the best". If we take a look at the targets it was simply roles we had and didn't comply with. He is the guy who says "come on I do it here, you go there", so Mo is fresh for the sprints.
Roma have former Manchester City striker Edin Dzeko as the spearhead of their attack but Van Dijk stressed there was no reason to be concerning themselves specifically with the 6ft 3in forward. "We just continue to work towards the next game".
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"We know they have a lot of quality and we know about most of the players, so we need to be ready for anything". It's hard. The whole game, the block on the goalkeeper, I know everyone likes it in the country but it makes life hard for the goalkeeper in these situations. I am not anxious. "I wouldn't have said nothing about that probably if we had won but it is all you see during the game". For West Brom's second, Rondon lost Roberto Firmino and was played onside by Dejan Lovren, who had dropped deeper than his colleagues to try to rescue the situation.
"We don't need help like this".
"They are all happy now, we are not happy".
Arsenal fans face a nervy wait to see if their side can hang onto sixth place, with Burnley making a late charge to dislodge them.
It was just reward for the hosts, with caretaker-manager Darren Moore extending his unbeaten run to three matches including games against two of the top four.
"It wasn't like a lot of other teams than Liverpool were banging down the door", Roma's American co-owner James Pallotta told the BBC's World Football programme.
Klopp added: "They are really good together".