As you are using Liverpool, most of the teams probably all defended behind the ball and will be time wasting once they achieved the results they desired, either leading your team or a draw.
In this situation, definately, you should go all out to close down(Good Staminia, Work Rate, Tackling Generally players needed!), win the ball back and control the game, get people forward in numbers, try to edge out from set pieces.
Of course, remember to at least put one or two players good at holding up the ball with low closing down to hold possession and start to move forward again.
I figure this out after a couple of games which I watched in full during my 7 games winless slump suddenly during the December period.
They suddenly changed their approach against you. And this is the kind of play style national team uses in real life, although the play style and results ain't pretty and winning a goal or 2 via set pieces and rebounds