The Blues dominated possession and produced four superb saves from the Everton keeper — two of them penalties — but almost came unstuck thanks to a goal on the break.
The $17 million signing of Nolito set few pulses racing among Manchester City fans this season, but he has already proven his worth to Pep Guardiola's side.
On a day when City's dedication to playing the percentages so very nearly backfired, Nolito showed exactly why Guardiola wanted him as part of his transitional season at the Etihad Stadium.
Guardiola will no doubt be livid after this game.