Messi opened scoring in the 26th minute amid suspicion of offside and doubled the lead 10 minutes before the break.
The Argentina global attempted to weave his way through the visitor's defensive line, however was thwarted by a well-timed standing tackle which seemed to end the attack - only for the deflection to cannon off the head of the hapless retreating Papa Bouba Diop into the path of the unmarked defender inside the area and from there the finish was academic. He continues to show that there'll be a lot of Messi for a while yet.
"We are at the beginning of the season and the distances are not significant, but it is better to be ahead than behind", Valverde said.
As Messi looked to dart into the left side of the penalty box, the ball cannoned up off an Espanyol defender, before then being hit against team-mate Pape Diop.
A sublime second nearly arrived in the 31st minute - Rakitic adding further to an accomplished showing by gliding towards the box and exchanging passes with Messi to draw a superb save from Pau Lopez.
Uruguay forward Suarez, who only returned from worldwide duty on Friday, looked to be having one of those nights as he sent a cut-back from Messi over from six yards.
Espanyol were being outplayed but retained a sporadic threat, with Pique and Samuel Umtiti diverting Leo Batistao's 61st-minute shot behind.
So fond are Espanyol of their former striker that he has a gate named after him at their stadium but on Saturday they will be hoping to take advantage of institutional instability at Barcelona to end their torrid run at the Nou Camp.
With four minutes to go Pique rose highest to head in a corner from Rakitic.
His biggest highlight came on Barcelona's fifth goal of the night, when Dembele broke free down the right before rolling a ball across for Luis Suarez to slide home.
They next host Juventus in the Champions League on Tuesday.
He stressed that the North's atomic arsenal was a deterrent against United States nuclear threats which Paris does not face. Mr Putin told him the North Korean problem should be solved diplomatically, according to Seoul's presidential office.
Keys and Stephens will put their friendship to a grand slam test when the best friends battle in the final. Stephens has burned me in her last two matches, so maybe I should trust her and finally back her to win.
No. 3 Penn State women's volleyball knocked off No. 4 Stanford for the second time in eight days Saturday night in Champaign, Ill. The Lions dropped one spot to No. 5 in this week's AP and USA Today Coaches polls following their 33-14 win over Pitt.
Asked during her press conference about her emotions, Keys joked that "I think drinks will help me through this tough time". The Scot said: "This scoring format is a lot more random than at Wimbledon ".
AAA says oil refinery and pipeline shut downs are not a major concern, as there are no facilities in Irma's projected path. Nationally, the most recent average price is $2.67 a gallon, or 31 cents higher than a month ago, according to GasBuddy .
Instead of going with rookie Brandon Woodruff on the hill, the Brewers chose to give Matt Garza another shot and it backfired. Travis Shaw and Orlando Arcia each hit a two-run double, Ryan Braun scored on a balk by Grimm, and Perez had a sacrifice fly.
They get too nervous, Anderson explained, and wait to watch a replay. "I will be very excited come Sunday". It was early in his career when Nadal began his habit of biting the championship trophies he wins.
Duke Energy Corp., the state's second-largest utility, has estimated it could see more than 1 million outages because of Irma. Florida Power & Light Company said that almost 1.1 million customers statewide were without power Sunday morning.
Miami Herald reports that AT&T, Verizon and Sprint will also waive fees to regions affected by Hurricane Irma. A body of a police officer was found buried under rubble in Juchitan, where a total of 37 people have died.
Anderson made the most of his opportunity, nailing a backhand victor to take the set 7-5 and level the match. Open men's semifinals, becoming the first player to take a set off Pablo Carreno Busta in the tournament.