The striker starred as the Azzurri snatched a point against Denmark and he admitted he was thrilled to be firmly back in Cesare Prandelli's plans
The Southampton striker handed his side the lead in the first half before setting up Alberto Aquilani for a dramatic late equaliser in the 2-2 draw in Copenhagen.
And the 27-year-old is determined to remain in Cesare Prandelli's plans after a year of international uncertainty, during which he was left out of the squad for Euro 2012 before being kicked out of the party for this summer's Confederations Cup after a spat with interim Roma boss Aurelio Andreazzoli.
"At the end the result was fair," he told Rai Sport of the encounter with Denmark. "When I'm called up I think about giving my best, then the coach will decide.
"I like to play, but I'm just glad to be part of this group. Prandelli always has nice words for me and I try to pay him back on the pitch."
Osvaldo joined Southampton from Roma this summer for a fee in the region of €15 million, but he insists he is delighted to see his former side performing well under new boss Rudi Garcia following their unbeaten start to the Serie A season.
"I'm delighted Roma are top of the table," he added. "I have many friends there and I miss the dressing room and my friendships there. I hope they carry on like this.
"Regardless of everything that's been said, I was fine with everyone and we loved each other. Now I am calm and peaceful in England and I hope the results keep coming."
Alberto Aquilani bundled home a fortuitous Azzurri equaliser in stoppage-time after Nicklas Bendtner struck twice for the home side on Friday, and the Fiorentina midfielder acknowledged it was a good result for his side given the determination displayed by Morten Olsen's outfit.
"Mine was a lucky goal, Osvaldo did well to aim at my knee," Aquilani said.
"It was a difficult test. Denmark played the game of their life and we saw that on the pitch. We started well, but at the end of the first half we eased off."