The Blues finished behind Serie A club AS Roma to throw up the possibility of Chelsea facing La Liga leaders Barcelona or Ligue 1 giants Paris Saint-Germain in the next round.
Despite coming through a group that was less competitive than the one Liverpool faced, as Klopp's side had to play Sevilla, Keane gives Jose Mourinho's team a real chance of achieving success in the tournament this season.
Pep Guardiola's men have shown little sign of fatigue on Champions League nights, storming to the top of Group F in style.
Possible opponents: PSG, Barcelona, Besiktas. The hope for Liverpool fans must be that he sticks around for the knockout stage, with Barcelona still hovering.
"It is a fantastic competition".
"We will not be happy when we see who we face in the next round, but we will ready". Both teams are through to round 16.
Chelsea went a goal down to Saul Niguez's 56th-minute opener but equalised on 75 minutes when Stefan Savic put Eden Hazard's cross into his own net.
Who are your favourites to win the Champions League?
The group winners will have it easier then?
"It's not a problem who we get, we are Chelsea".
Bayern could not quite achieve the four-goal victory that would have taken them top of Group B but a 3-1 victory over PSG provided ample encouragement for the knockout stages. "We can do anything". The games decided the fates of many teams. From that point onwards it is a free draw so group-stage rematches and any all-Premier League clashes could be back on the agenda from that point onwards.
The records keep on falling at Ronaldo's feet.
"So, I'd be looking at it the other way".
The Blues signed six players in the summer transfer window last term.
However, Frank Lampard, who was in Chelsea's title-winning team of 2012, believes his former team could rue their profligacy against Atletico.
Last month, the Republic of Ireland's assistant manager said they were "going nowhere fast" and that if Liverpool "were playing out in my back garden, I wouldn't watch them".