Harry Kane fired Bayern Munich into the quarter-finals of the Champions League as the German side overturned a first-leg deficit against Lazio with a 3-0 win at the Allianz Arena.

Trailing 1-0 from the first leg in Rome, Bayern were kept out until Kane headed home from close range – his 50th goal in European competition.

Thomas Muller doubled the lead on the night with another header seconds before the break as Matthijs de Ligt’s volley flashed across the six-yard area.

Lazio’s best chance had fallen to Ciro Immobile, their spot-kick scorer from the first game, just moments before Kane had levelled the tie.

But Immobile planted his header wide from six yards when it appeared easier to score.

Bayern sealed their progress into the last eight of a competition they have won six times after 66 minutes.

Leroy Sane’s shot was parried into the path of Kane, who had to adjust his feet sharply to score his second on the night and 33rd Bayern goal in as many appearances.

Kylian Mbappe’s brace saw Paris St Germain cruise into the quarter-finals, with a 2-1 win at Real Sociedad completing a 4-1 aggregate victory.

With a 2-0 lead in their pocket from the first leg, PSG were comfortable throughout.

Mbappe, the top scorer across Europe’s top five leagues so far this season, offered an early warning sign when he turned a shot narrowly over the bar from Fabian Ruiz’s cut-back in the fifth minute.

PSG were the dominant force and went ahead after 15 minutes through Mbappe’s fifth Champions League goal of the season, bending the ball across goal and inside the far post.

Mbappe punished Sociedad again 11 minutes into the second half, bursting on to Lee Kang-in’s through ball and whipping the ball in majestically at the near post. Mikel Merino scored a consolation for Sociedad a minute from time.