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Premier League leaders Leicester City struck late to beat Norwich City on Saturday afternoon, while Stoke City defeated Aston Villa.
Elsewhere, Watford and Bournemouth produced a scoreless draw.
In the clash that was live on Setanta Sports, Southampton led Chelsea but were ultimately beaten by the Blues, after West Ham United had earned a hard-fought victory over Sunderland at the Boleyn Ground in the day's early game.
League leaders Leicester defeated Norwich 1-0 at King Power Stadium thanks to a late Leonardo Ulloa goal.
With the Canaries sitting deep, Leicester attacked regularly during the first period, but the visitors held firm.
Indeed, Norwich went close to moving ahead prior to the interval, as Cameron Jerome headed an excellent chance wide.
Although Nathan Redmond shot narrowly wide for the visitors, the Foxes had the better of the second half, eventually scoring with a minute of normal time remaining, as substitute Ulloa slid in to net Marc Albrighton's low cross.
Leicester sit five points ahead of both Tottenham Hotspur and Arsenal at the top of the table, with Spurs hosting Swansea City on Sunday while Arsenal face Manchester United at Old Trafford.
Marko Arnautovic struck twice as Stoke beat rock-bottom Aston Villa 2-1 at the Britannia Stadium.
Mark Bunn did well to prevent a Jores Okore own-goal early on, as the home side bossed matters, although Villa settled and survived on level terms up until the break.
However, Stoke hit the front in the 51st minute through Arnautovic, who smashed a penalty kick down the middle after Phil Bardsley had fouled Ashley Westwood.
Arnautovic quickly doubled the hosts' lead, heading Xherdan Shaqiri's cross up in the air and following the ball towards goal to force in his second of the afternoon.
Leandro Bacuna gave the visitors hope, sliding home a calm finish with a little over 10 minutes to go, following a fortunate deflection off Rudy Gestede.
Villa pushed for a leveller in the time that remained but Mark Hughes's troops held on in relative comfort.
The victory lifts Stoke up to eighth place, with Villa looking effectively certain to be playing in the Championship next season.
Watford were held to a scoreless draw by Bournemouth at Vicarage Road.
The Hornets dominated the opening exchanges, with Odion Igahlo the main threat, before the visitors' Junior Stanislas was forced off with a hamstring injury and replaced by Max Gradel.
The Cherries, though, kept Watford at bay, and Harry Arter almost secured the lead for the visitors early in the second half, as Heurelho Gomes made a fine save from the midfielder's long-range effort.
Igahlo headed over a fabulous chance to break the deadlock from Nordin Amrabat's cross, prior to Josh King wasting a similarly decent opportunity for Bournemouth.
The chances continued to flow at both ends but none were taken, ensuring a scoreless draw that leaves Watford 10th and Bournemouth 15th, five points above the drop zone.
By David Maher