Pelle and Simone Zaza were among the main culprits after missing the target during a dramatic penalty shoot-out with Germany in the quarter-finals of Euro 2016 earlier this summer that sealed Italy's early return home.
The former Southampton striker's international career even looked to have suffered a blow when he opted for a big-money move to Shandong Luneng in the Chinese Premier League.
But Pelle maintained coach Giampiero Ventura's faith by scoring Italy's only goal in a 3-1 friendly defeat to Euro 2016 finalists France last Thursday.
And he offered the fledgling Azzurri coach further comfort when he found the net before the quarter-hour in Haifa on Monday with his ninth goal in 19 appearances as 10-man Italy made a winning start to its Group G qualifying campaign.
Pelle said his ability to remain 'positive' has been key.
"I might have a lot of defects," Pelle said when asked about his missed penalty against Germany earlier this summer.
"But one of my qualities is to remain positive. Unfortunately, in football there are always brutal moments but you have to go on."
Ventura had hinted two months ago Pelle's move to China could harm his chances of remaining with the national team.
"A player has to be strong, psychologically and mentally," to feature for Italy while playing outside of Europe, said Ventura.
But after Monday's performance, Pelle's place in the national team, for the moment, does not look under threat.
"But this game was far too important for us, and my determination (to play well) took me to the limit.
"For me, playing for the national team is the most beautiful thing, no matter which position I play in - as long as I help the team."