BERLIN (Reuters) - Liverpool strolled through to the group phase of the Champions League with a 4-0 win over Toulouse at Anfield on Tuesday, with Lazio and Rangers joining them after much tougher second legs away from home.

Five-times winners Liverpool, leading 1-0 after the away leg in France, secured a 5-0 aggregate success with goals from Peter Crouch and Sami Hyypia and a late double from Dirk Kuyt.

Rangers held on for a goalless draw away to Red Star Belgrade to clinch a 1-0 win over the two legs and book their place.

Lazio, already in trouble after a 1-1 draw at home to Dinamo Bucharest two weeks ago, fell behind to a Florin Bratu strike before two goals from Tommaso Rocchi and one from Goran Pandev saw them through 3-1 on the night and 4-2 on aggregate.

After the death of Sevilla's Antonio Puerta yesterday, three days after he collapsed on the pitch, the Spanish team's match against AEK Athens was postponed.

Sevilla will now defend their 2-0 lead in the second leg in the Greek capital on September 3.

The other 12 third qualifying round, second leg games will be played today, with the winners going through to the draw for the group stage on Thursday.

Liverpool, runners-up to AC Milan last season, added to their 1-0 lead from the first leg with a well worked opener in the 19th minute back on Merseyside.

Yossi Benayoun picked up a loose ball and passed to Kuyt, who crossed to the far post for Crouch to prod home.

Liverpool missed a stack of chances before Hyypia headed in from a corner in the 49th minute to make certain. Kuyt scored his first in the 87th minute following a one-two with Ryan Babel and wrapped up the scoring with a neat chip in added time.

Rangers muscled their way into the Champions League group stage in Belgrade.

Resolute and at times desperate defending saw Rangers through after they soaked up intense pressure in the first half and stayed on level terms thanks to a string of fine saves from Allan McGregor.

The keeper denied Red Star's Montenegro playmaker Igor Burzanovic three times and also kept out a fierce shot by Serbia winger Ognjen Koroman from 20 yards after the break.

Rangers failed to create anything up front in the first half as their defensive 4-5-1 formation struggled to find the supply routes to lone striker Jean-Claude Darcheville.

But they looked sharper after the break and Darcheville fired just wide of the far post on the hour while Lee McCullough saw his shot trickle away for a corner several minutes later after the ball had crept through the keeper's hands.

The visitors held on in the closing stages with some ease as Red Star launched waves of aimless attacks, their long-ball strategy paying no dividends against a well-organised defence.

Red Star manager Milorad Kosanovic rued his team's failure to reach the Champions League for the first time.

"We played our hearts out but it turned out that the last-minute goal we conceded in the first leg was a very costly mistake," he told reporters.

"It's a pity but we can't complain because we failed to take our chances and failed to score over the two legs."

"We faded away in the final 20 minutes but I am pleased with the overall performance because we played above our limits against a very good side."

Lazio came from behind to beat Dinamo Bucharest, who went ahead in the tie in the 27th minute when Bratu outpaced Guglielmo Stendardo on his way to goal.

But Rocchi converted a penalty for the Italians two minutes into the second half and set up the second for strike partner Pandev seven minutes later. Rocchi scored his second and Lazio's third when he was put clean through on goal in the 65th minute.