Both Bonucci and Chiellini have impressed this summer at Euro 2020 as Roberto Mancini's men booked their place in the semi-finals.
Chiellini, who is currently a free agent after his Juventus deal expired, started both of Italy's opening Euro 2020 matches before he picked up an injury in his side's 3-0 win over Switzerland.
The 36-year-old Italian centre-back missed Italy's Group A clash against Wales and the last-16 tie against Austria due to a thigh injury.
However, Chiellini returned for the quarter-final clash against Belgium at the Allianz Arena last Friday.
Bonucci, meanwhile, has started every match under Mancini at the Euros and stepped up as Italy captain in the absence of Chiellini.
Schweinsteiger, 36, praised both Bonucci and Chiellini's 'experience' after calling them the best centre-backs in world football.
The Bayern Munich legend tweeted: "[Bonucci] & [Chiellini] are currently the best centre-backs in the world."
Nicolo Barella opened the scoring for Italy against Belgium in the first half before Napoli captain Lorenzo Insigne scored his side's second.
Inter Milan striker Romelu Lukaku pulled one back for Belgium from the spot-kick ahead of half-time.
However, Roberto Martinez's men were unable to mount a successful comeback against Italy as Belgium crashed out of Euro 2020 in the quarter-finals.
Speaking after the Belgium clash, Italy vice-captain Bonucci insisted that his side 'dominated' their opponents at the Allianz Arena.
The 34-year-old Juventus star told Rai Sport: "We knew Belgium's quality, especially in attack and the danger they posed to us on the counter.
"We went 2-0 up and were dominating the game, then they got back into it with a dubious penalty, we did really well to hold on and showed once again how important the heart of this Italy side and of the Italians is."
Italy will now play Spain in their semi-final clash at Wembley on 6th July, with the winner to play either England or Denmark in the final.
Featured Image Credit: PA
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