Turati got down low to deny Higuain after getting his hand to send a Ronaldo free kick over the bar.
Ronaldo’s penalty pulled the hosts level on 68 minutes after Filippo Romagna fouled substitute Dybala.
It was the Portuguese star’s fifth Serie A goal this season.
“Ronaldo has regained stamina, the next step will be to recover brilliance, but the road is right,” insisted Sarri.
Sassuolo coach Roberto De Zerbi hailed “an important point” for his team.
“You need courage when playing here, otherwise you’re dead before kick-off,” said De Zerbi.
He also heaped praise on Turati for his solid performance.
“I had no doubts about him, he is the classic goalkeeper a little crazy. Before the game, I told him to enjoy the moment — to be 18 playing against these champions is wonderful.
“From the way he looked at me at the end of the game, I think he enjoyed it.”
Lazio consolidated third place — seven points behind Inter — with a 3-0 win over Udinese thanks to a double from Serie A top scorer Ciro Immobile, including one from the spot, to bring his tally to 17 goals this season, and a Luis Alberto penalty.
AC Milan, struggling in 11th, got their first win in a month 1-0 at Parma with Theo Hernandez scoring the winning goal two minutes from time.
AS Roma, in fifth, travel to Verona later Sunday, with Napoli, in seventh, hosting Bologna.