Di Natale announced in January that he would retire from football at the end of the Serie A campaign after almost 10 years with Udinese but his treble at the Stadio Communale Friuli has inspired a rethink.
The 36-year-old scored twice in the second half before netting an 88th-minute equaliser as Udinese salvaged a 3-3 draw at home to Sampdoria.
"I am having fun, now I want to go on vacation with my wife after two charity games," Di Natale told Sky Sport Italia.
"It's a shame the season is ending now, as I am in good physical shape and enjoying myself, but we'll see, I'll try to continue. I hope to continue.
"At the start the whole team struggled to do what we'd been able to in three years together, but I got 17 goals in the end."
Di Natale added: "I've been here for 10 years and have a great rapport with the fans.
"I've given them everything, they have given me everything and we hope to continue."
Di Natale's hat-trick took him to 193 Serie A goals and when quizzed about the prospect of chasing down the 200-target, he said: "Right now I have to try to rest, then we'll see.
"I dedicate the hat-trick to my family, my teammates and the Pozzo family, as it's thanks to them I am here."
