Meanwhile, Neymar, Filipe Luis and Gabriel Jesus also found the net at the Arena das Dunas.
Coutinho’s goal was the second on the night as he poked in from close range after a cut back from Giuliano.
The Liverpool man was one of the standout performers for Brazil as Tite deployed him in a wide-attacking midfield role.
GETTY
Philippe Coutinho's now scored five goals for Brazil's senior national team
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In the build up to the Bolivia clash, Tite had said: “Right now this is Coutinho’s moment. And in football, you have to follow the moment. With his passes, Coutinho opens the lines, creates space.
“Why Coutinho instead of Willian? There’s a reason he is called the Magician [by Liverpool fans].”
After their contributions today too, Reds duo Coutinho and Firmino could both start in Brazil’s next qualifier against Venezuela on Wednesday morning.
Neymar was booked in the win over Bolivia, leaving him suspended for next week’s fixture, although Willian will also be vying for a place in the first XI.
Despite the late second match in the international break, Jurgen Klopp and Liverpool fans will be relieved that they don’t play again until Monday October 17.