After successive defeats by Manchester City and Manchester United, injury-hit Palace proved to be the ideal opponents for Antonio Conte's side at Stamford Bridge.
Just four days before facing Barcelona in the first leg of their Champions League last 16 tie, Conte named a much-changed side with Thibaut Courtois, Cesar Azpilicueta, N'Golo Kante and Eden Hazard not even included in the Italian's squad.
Chelsea rested the likes of Eden Hazard and Cesc Fabregas for the Premier League match against Stoke City.
Looking to bounce back from the trauma of letting a 3-0 lead slip in their 3-3 draw at Sevilla in the Champions League, Liverpool went ahead in the 65th minute through former Chelsea man Mohamed Salah.
Willian scored twice and won a pair of penalties as Chelsea thrashed 10-man Qarabag 4-0 in Baku to guarantee Antonio Conte's side a top-two finish in Group C.
Dele Alli and Harry Kane kept Tottenham Hotspur in the Premier League title hunt as their side torpedoed Arsenal 2-0 while Chelsea maintained their advantage by winning 3-0 at Everton earlier in the day.
Nemanja Matic's thunderous long-range effort sealed a final date for Chelsea against Arsenal or Manchester City, who meet in the second FA Cup semi-final on Sunday.
Willian scored in the 83rd minute for Chelsea in the 2-1 win over Dynamo Kiev in Champions League
Chelsea F.C. manager Jose Mourinho saw his side hit the woodwork through the recalled Eden Hazard and Willian, but had to settle for a point.
Willian scored twice -- in the 37th second and again the 42nd minute -- as Brazil rebounded from a humbling loss to Chile last Thursday to beat Venezuela 3-1 in their 2018 World Cup qualifier.
Willian, Oscar, Diego Costa and Cesc Fabregas netted a goal as Chelsea F.C. started their Champions League campaign with a 4-0 win over Maccabi Tel Aviv.
Brazil have won eight consecutive matches since the arrival of coach Dunga after the humiliating loss at the 2014 World Cup in their own backyard. Willian added Brazil would go into the Copa America, staring on June 12, with a lot of confidence.
Chelsea manager Mourinho is set to break his self-imposed ban on speaking to the media before Chelsea's match against Aston Villa.
Brazil registered a 1-0 win over Ecuador in New Jersey which saw Neymar turn creator, setting up a Willian goal.
Willian's strike helped Brazil register its second win in a series of friendlies. The team earlier beat Colombia.
Ramires grabbed the winner after Fernando Torres opened the scoring for the blues in a 2-1 victory.
West Brom took a 42nd-minute lead at The Hawthorns but Wilshere leveled to take Arsene Wenger's side above Liverpool on goals scored.