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The expected response from Barcelona just never arrived, and it was Emery's side that continued to threaten more goals, with Lucas's pace and Cavani's movement opening up space after space in the final third of the field.
Benfica have won eight of their last nine games at home and have scored 23 goals in the last six of those.
Barca Confirmed Playing 11: Marc-André ter Stegen; Jordi Alba, Samuel Umtiti, Gerard Piqué, Sergi Roberto; André Gomes, Sergio Busquets, Andrés Inesta; Neymar, Luis Suárez, Lionel Messi.
Emery's future will likely depend on whether it can get past Barcelona in the round of 16 of the Champions League, which begins with the first leg on Tuesday.
"Against a team like that, you quite simply have to have a flawless match, playing your best soccer and giving your absolute all".
The Spaniard's expertise in negotiating two-legged continental ties is also beyond question - back-to-back Europa League titles with Sevilla prove as much.
"The most important thing will be to win the challenges otherwise tactics will mean nothing", he told a news conference yesterday ahead of the clash.
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The solution for PSG against Barcelona could be attack as a best form of defense. "We need to win something in Europe".
Cavani and di Maria both celebrated their birthdays Tuesday in a manner that will endear them to PSG fans for years to game.
Stopping him might not prove to be an easy task for the PSG defenders. "But if we stay compact so as not to permit Messi and Neymar to drop off and pick up the ball, then that will be good". PSG could have hit double figures as they bombed forward in a style similar to what we are used to seeing from their opponents on the night.
Emery will also be unable to utilise veteran midfielder Thiago Motta, the ex-Barcelona player, due to suspension.
Barcelona smashed Alaves 6-0 at the weekend and have only lost once in their last 22 games.
That result means Luis Enrique's side have now lost just once in 22 games although it was overshadowed by a terrible ankle injury suffered by right-back Aleix Vidal which rules him out for the rest of the season.
This was PSG's night, though, and Unai Emery's side will surely go on to secure a fifth successive appearance in the quarter-finals.