Striker Edinson Cavani gave Paris Saint-Germain a Champions League lifeline on Tuesday with a second-half equalizer as his team battled to a 1-1 draw with Chelsea in the last 16.

After defender Branislav Ivanovic put Chelsea ahead in the 36th minute of the first leg match with a looping header, Cavani equalized with a downward header in the 54th.

"The result is not in our favor, but what I retain is the spirit my players showed," PSG coach Laurent Blanc said. "It's the game we wanted, except for the goal we conceded. But there are a lot of very, very positive things to take."

Blanc wanted a commanding performance from striker Zlatan Ibrahimovic, but Cavani looked sharper and could have scored more. With 10 minutes remaining, he burst into the penalty area and poked the ball just wide.

Thibaut Courtois, preferred to Petr Cech in goal for the visitors, prevented a defeat.

"Chelsea is lucky enough to have two goalkeepers of the very highest level. Despite his height he's very quick, especially on the ground," Blanc said. "He makes reflex saves at incredible speed."

He denied Cavani with a spectacular first-half save and made four other fine stops to give Chelsea an edge for the return leg on March 11.

Chelsea coach Jose Mourinho described Courtois' performance as "phenomenal" and conceded his side was somewhat fortunate to get a draw.

"The second half was their half. They were losing, they put pressure on us," Mourinho said. "If you go to chances created, and the goalkeeper's performances, we have to be honest and say they had more."

PSG was knocked out of the quarterfinals on away goals last season by Chelsea - winning the first leg 3-1 and losing the return 2-0.

In the night's other last 16, first leg match, 10-man Bayern Munich settled for a 0-0 draw with Shakhtar Donetsk in Lviv, Ukraine.

PSG had the game's first chance when midfielder Blaise Matuidi's header drew a smart save from Courtois, who reacted moments later to punch away Ibrahimovic's header.

The hosts caught Chelsea with a quick break in the 32nd, as winger Ezequiel Lavezzi forced a corner. He took it, and Cavani's brilliant glancing header forced Courtois into an equally good save.

Chelsea scored after Cesar Azpilicueta collected a loose ball on the left. From his cross, center half Gary Cahill flicked the ball on and Ivanovic anticipated the bounce to plant a firm header into the left corner.

Ivanovic scored the winner 10 days ago away to Aston Villa and in the League Cup semifinal win against Liverpool last month.

"It's good to have two or three players who are not expected to score," Mourinho said. "He chooses the right moment to do it. "

After Chelsea's goal, the home side looked rattled.

David Luiz, playing in midfield against the Premier League club which sold him in the summer, even took matters into his own hands on the stroke of halftime.

After referee Cuneyt Cakir awarded a free kick and sprayed the ground to show where it should be taken from, Luiz scooped the foam away with his hands and smeared it on the ground several paces to the left, giving PSG a more central position.

It made no difference as Ibrahimovic blasted over.

PSG equalized after Matuidi crossed and Cavani showed great timing to get ahead of Cahill.

Xabi Alonso was sent off in his 100th Champions League game as 10-man Bayern Munich was held to a 0-0 draw by Shakhtar Donetsk in their last 16 first-leg match on Tuesday.

On a freezing night in Ukraine, Bayern had the better chances but was thwarted by determined defending from Shakhtar and some poor shooting. Both coaches said they had emphasized defense.

"We had more chances to score. Shakhtar Donetsk had none, zero," Bayern coach Pep Guardiola said. He added that his "gameplan for today" had mainly focused on keeping Shakhtar's "very, very fast" forwards under control.

"Maybe for the next game in Munich our target, our game, will be completely different," Guardiola said.

Bayern played the last 25 minutes with 10 men after midfielder Alonso was red-carded, having picked up his second booking for a poor tackle on Alex Teixeira.

The match was played in Lviv in western Ukraine because Shakhtar has been left homeless by the conflict in the east of the country, where its home city of Donetsk is a separatist stronghold.

The result means Shakhtar will progress to the quarterfinals on the away goals rule if the second leg March 11 in Munich ends in a score draw.

"The main plan for the match was not to lose," Shakhtar coach Mircea Lucescu said. "We've still got a chance."

Lucescu suggested Bayern had taken a cynical approach to the game. "Sometimes we tried to play on the offensive but when we did that, Bayern's players fouled us."

Thomas Mueller had the best chances of the game for Bayern, including a scuffed shot from a good position after 11 minutes. He was fed by Franck Ribery near the penalty spot on 31 minutes, but his snatched effort went flying over the bar.

Shakhtar's Olexandr Rakitskiy had tested Bayern goalkeeper Manuel Neuer shortly beforehand with a free-kick that the German caught but fumbled, scrambling to rescue it as Shakhtar players closed in.

That proved to be Shakhtar's only shot of a game in which the Ukrainian team created very little, despite playing most of the second half with a numerical advantage.

Bayern appealed for a penalty on 83 minutes when the ball struck the fallen Rakitskiy's arm, but the referee waved play on.

Many fans in the capacity 34,900 crowd at Arena Lviv displayed Shakhtar's black and orange colors alongside the blue and yellow of the Ukrainian flag in a show of patriotism.

Many Shakhtar supporters, some of whom have been displaced by the conflict in the east, are vocal opponents of the pro-Russian rebels who control the club's home city.