Livingstone suffered the injury in the closing stages of England's seven-wicket defeat to India in the warm-up match in Dubai.
Sancho missed England's 4-0 win in Hungary on Thursday due to the problem he suffered in training.
The England seamer sustained a tear to his right calf during a warm up on Tuesday. He underwent an MRI scan in London on Wednesday lunchtime, which revealed a tear.
While Perera is out with a right shoulder sprain, the SLC said Fernando sprained his left ankle during training.
Goffin joins several high-profile players who have already withdrawn from the Olympics.
FIFA World Cup 2022 qualifiers: Poland striker Robert Lewandowski to miss England clash with knee injury
The Bayern Munich forward suffered the injury during Sunday's 3-0 win over Andorra in Warsaw in which he scored two goals but had to leave the field in the 63rd minute.
The hamstring injury forced Son to sit out Spurs' Europa League defeat to Dinamo Zagreb last week and Sunday's Premier League win at Aston Villa.
Federer has been out of action since February 2020 and shelved plans in December to compete in the Australian Open, which makes a delayed start next week.
Bundesliga: Borussia Dortmund star Erling Haaland out until January, Mats Hummels' injury not as bad as feared
Dortmund coach Lucien Favre has confirmed Haaland "won't play again until January" with a torn leg muscle.
India vs Australia: Ravi Shastri should have updated Virat Kohli on Rohit Sharma's injury status, says Gautam Gambhir
Ahead of the start of the ODI series against Australia, India captain Kohli didn't hide his displeasure at Rohit's injury being subject of speculation, stating that "confusion and lack of clarity" has led to the team management playing a "waiting game" on his availability.
India vs Australia: Mitchell Starc suffers 'back and rib niggle', joins David Warner in hosts' injury list
Starc, who struggled in the first two matches of the ongoing ODI series, joined David Warner in the injury room.
Ishant had played only one of the seven games that the Capitals have played so far, finishing his four overs wicketless for 26 runs against Sunrisers Hyderabad in Abu Dhabi.
India vs New Zealand: Destiny’s cruel hand casts giant shadow over Rohit Sharma's red-ball fairytale...again
At 32, and with immediate success to reflect on, keeping one’s composure might not be the easiest task, but as opener, that’s exactly what Rohit has had to do of late.
FIFA World Cup 2022 qualifiers: Igor Stimac says India will make Bangladesh match 'an unforgettable experience' for fans
The senior India men's football squad arrived in Guwahati on Friday for a preparatory camp ahead of India's second round World Cup qualifier match against Bangladesh, to be held on 15 October in Kolkata.
FIFA World Cup 2022 qualifiers: Defender Rahul Bheke ruled out of India's match against Bangladesh due to injury
Defender Rahul Bheke was on Wednesday ruled out of India's upcoming 2022 FIFA World Cup Qualifiers match against Bangladesh due to an injury.
Daniel Craig was operated following an injury while filming Bond 25 and has been seen using crutches alongside the leg cast
ICC Cricket World Cup 2019: 'Let's hope we see him on biggest stage again', Twitter reacts after Dale Steyn is ruled out of tournament
Here's how Twitter reacted to South Africa's Dale Steyn getting ruled out of the ICC Cricket World Cup 2019 right before the match against India at Southampton.
Steyn has suffered a second shoulder injury which has not responded to treatment and has ruled him out of bowling for the foreseeable future.
Kings XI Punjab's Varun Chakravarthy was on Wednesday ruled out of the remainder of the Indian Premier League after the spinner failed to recover from an injury.