Falcao made his debut on 2 August in the 2015 FA Community Shield at Wembley Stadium, replacing Loïc Rémy at half time as Chelsea lost 1–0 to rivals Arsenal. His league debut came six days later in a 2–2 home draw with Swansea City, playing the final six minutes in place of Willian. On 29 August, again as a replacement for Willian, Falcao scored his first and only Chelsea goal, equalising in an eventual 1–2 home defeat to Crystal Palace. On 3 November, Falcao picked up a muscular injury in training, and was ruled out for a "few weeks", On 30 December, new manager Guus Hiddink said he would be out "for ten days, although not match fit." However on 15 January 2016, new manager Guus Hiddink confirmed that Falcao's latest injury setback was "very serious". He was dropped from the team's Champions League squad the following month, in favour of new addition Alexandre Pato.