Yildiz expressed his joy at scoring both his first and second goals against a formidable opponent like Inter. He mentioned in an interview with DAZN that he is determined to maintain this level of performance and has high hopes for Juventus' chances of winning the title.
"We hope always, but the season is still long, we want to give our best and I hope at the end that it's going to be good."
And although both teams lost ground on Napoli it will be champions Inter, in second, who will most feel the sting of Sunday's draw after missing a clutch of chances following Dumfries' strike.
Inter were two ahead thanks to a beautiful strike from Henrikh Mkhitaryan and two Piotr Zielinski penalties, all in the first half, before Dumfries' low finish.
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Inter's 'lesson'
They went close to sealing the points through Federico Dimarco, Nicolo Barella and Lautaro Martinez but got caught twice on the break by Yildiz, whose double was also his first goals of the season.
"We deserved to score seven or eight goals against a team which had conceded one in eight games," said Inzaghi.
"You can't concede four goals from four shots on target... It'll serve as a lesson for us."
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Juve stay third, a further point off the title pace after showing huge fight to bounce back and take a precious draw from their fiercest rivals.
Thiago Motta's side, missing a host of first-choice players, had already fought back from going behind to Zielinski's first spot-kick through tap-ins from Dusan Vlahovic and Timothy Weah.
Former Inter midfielder Motta, who won the 2010 Champions League with the "Nerazzurri", got his substitutions right while Yann Bisseck's poor performance in place of Benjamin Pavard aided Juve's stunning comeback.
"We had the right attitude and spirit, and at the end we even tried to get the win," said Motta.
"We need to look at why at times we play brilliantly and in other moments we seem to be dominated by opponents."
Roma crumble
Crisis club Roma slumped to a humiliating 5-1 defeat at Fiorentina which left Ivan Juric at risk of the sack barely a month after he replaced Daniele De Rossi in the capital club's dugout.
Roma are 11th on just 10 points after a horrendous night in Florence in which nothing went right, going two down to strikes from Moise Kean and Lucas Beltran within 17 minutes and never recovering from that early blow.
The away side were briefly in the game when Manu Kone netted in the 39th minute, but Kean bagged his second of the night moments later.
A miserable evening was completed by Roma youth product Edoardo Bove adding the fourth and Mats Hummels nodding into his own net just four minutes after making his debut for the club from the bench following Mario Hermoso's sending off.
Roma's dismal season has only been made worse by local rivals Lazio's great form, their latest win a 3-0 thumping of injury-ravaged Genoa.
Lazio are level on 16 points with fourth-placed Fiorentina, Atalanta and Udinese, who are all one behind Juve, after Tijjani Noslin's jinking run and low finish in the 21st minute was followed up by late strikes from Pedro and Matias Vecino.
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Genoa meanwhile are third from bottom after a seven-match winless run in which they have lost five times. They are set to sign Mario Balotelli on Monday in an attempt to solve an injury crisis which has crippled their attack.
(This story has not been edited by staff and is auto-generated from a syndicated feed.)