Realistically, the Foxes, who beat Chelsea in the FA Cup final last Saturday, need to win and hope one of their rivals slip up.
Tottenham Hotspur's Erik Lamela scored a stunning 'rabona' goal to light up Thursday's Europa League ties, wrapping his left boot round the back of his right leg 20 metres out and blasting the ball into the top corner.
Tottenham Hotspur needed a 73rd-minute Andros Townsend penalty to end the dogged resistance of visiting third tier Sheffield United and secure a 1-0 lead in their League Cup semi-final first leg on Wednesday.
West Ham United and Chelsea both narrowly avoided ignominious FA Cup exits with narrow wins against lower-league opposition but Everton marked Frank Lampard's first game in charge by sauntering past Brentford into the fifth round on Saturday.
Here are a few pictures from the Foxes' celebrations that the club posted on their Twitter page with the hashtag -- Having a party!
West Ham United made absolutely certain of Premier League safety with a 2-0 win over 10-man Tottenham Hotspur on Saturday -- their third victory over their London rivals this season.
Images from the English Premier League matches played on Wednesday night.
Rashford put United ahead in the seventh minute
The 58-year-old pointed to the 26-point gap in the Premier League table between runners-up Liverpool and his fourth-placed former team as evidence of a massive gulf between the sides.
It took Harry Kane four years to become an overnight sensation at Tottenham Hotspur and with a Young Player of the Year award as a full England international.
Images from the English Premier League matches played on Saturday.
She ran on to the pitch with the score at 1-0 to Liverpool after an early penalty was converted by Mohamed Salah.
Manchester City celebrated their Premier League title on Sunday, beating Chelsea 1-0 with an early goal by Julian Alvarez in the team's home finale at a sun-drenched Etihad Stadium.
Liverpool's Juergen Klopp has been named Premier League manager of the month after leading the club to three consecutive wins in September, the first time the German has won the award.
World champions France had eight players, one less than former holders Spain, in international players' association FIFPro's 55-name shortlist for its World XI of 2018 award.
Leicester City said they had a request to postpone Thursday's game against Tottenham Hotspur rejected by the league.
Manchester City manager Pep Guardiola finds nothing abnormal in his team's 2-0 defeat at Tottenham Hotspur but wants the side to learn from Sunday's loss and put their Premier League campaign back on track.
Tottenham Hotspur Captain Harry Kane wrote, 'Nice technique right there.'
Tottenham Hotspur's England duo Harry Kane and Dele Alli fired them to a comfortable 2-0 win over mid-table Watford that cemented their place in the top four at Wembley on Monday.
Fourth-tier Newport County stunned former FA Cup winners Leeds United with a last-gasp 2-1 win in the third round to spark a joyous pitch invasion at their Rodney Parade ground on Sunday.
The London club dominated the first half but fell behind to a superb goal from their former winger Aaron Lennon before young midfielder Dele Alli furthered his case for a place in England's midfield with a classy equaliser just before the break.
Managerless Tottenham Hotspur face a long trip to Ukraine for a meeting with former boss Juande Ramos after being drawn against Dnipro Dnipropetrovsk in the last 32 of the Europa League.
Images from the English Premier League matches played on Saturday.
Tottenham Hotspur striker Harry Kane is loving his duel with Leicester City forward and England team mate Jamie Vardy for the Premier League golden boot this season.
John Terry headed a second-half equaliser to rescue a 1-1 draw for Chelsea at Tottenham Hotspur on Saturday as the managerial battle between Jose Mourinho and his former apprentice Andre Villas-Boas ended in stalemate.
Manchester United and Liverpool, English football's two most decorated clubs, were drawn together in the last 16 of the Europa League on Friday.
IMAGES from the FA Cup final played between Manchester City and Manchester United, at Wembley Stadium, London, Britain, on Saturday
The draw also produced a clash between two former European champions with AC Milan facing Serbia's Red Star Belgrade while French league leaders Lille face Ajax Amsterdam in a fascinating tie.
'A great champion who has won trophies at every level, Jose will provide tremendous leadership and experience to our ambitious project.'
Mauricio Pochettino has left his job as Chelsea manager by mutual consent, the Premier League side announced on Tuesday.
Manchester United forward Anthony Martial and Tottenham Hotspur manager Mauricio Pochettino have bagged the Premier League player and manager of the month awards for September.
Goalkeeper Alisson Becker scored a stunning header in the fifth minute of stoppage-time as Liverpool snatched a 2-1 victory at the death against relegated West Bromwich Albion at The Hawthorns on Sunday.
Araujo to miss Uruguay friendlies due to thigh injury
In Conte's absence, Stellini guided Spurs to wins over Manchester City, West Ham United and Chelsea.
The Cup did not 'come home' in football, but that did not stop FIFA World Cup Golden Boot winner Harry Kane from wishing luck to Virat Kohli, potentially one of England's biggest obstacles in their quest to win a maiden title in cricket's showpiece.
Christian Eriksen deflected some of the spotlight away from Tottenham Hotspur manager Tim Sherwood with two assists and a goal in his side's 5-1 hammering of relegation-haunted Sunderland in the Premier League on Monday.
Seven-time European champions AC Milan hit back from two goals down against Celtic to claim a 4-2 victory that sent them into the Europa League knockout phase on Thursday as they were among 14 teams to progress in Europe's second-tier competition.
Daley Blind may lack the height and power but the Manchester United midfielder insists he possesses the footballing intelligence to flourish as a centre-back.
Tottenham Hotspur manager Andre Villas-Boas said the club could fine forward Gareth Bale for failing to attend training ahead of an expected world record "dream" move to Real Madrid. Bale, who has not been training with the squad due to injury, was granted three days off but did not report back to the club on Tuesday despite being pictured in London.
Llorente's second-half treble, a double from Son Heung-min and a late effort from Kyle Walker-Peters in driving snow at a freezing Wembley Stadium settled an game where tensions had threatened to bubble over before the break.