 Trapp akaita kutanga kwake musi wa1 Nyamavhuvhu mu2015 Trophée des ChampionsmuMontreal, achiramba asina chakaipa mukukunda Lyon 2-0. Akazochengeta machira mana akachena mumitambo mina yekutanga yeligi yemwaka. Zvikanganiso zvake zvishanu zvakateedzana zvakazopera paakapa zvibodzwa zviviri, kusanganisira chikanganiso chakabvumidza Wahbi Khazri kuti apinze chikanganiso, mukukwikwidza 2 × 2 vachipesana neBordeaux musi wa11 Gunyana 2015. Pasinei nezvikanganiso, Trapp akadzorera basa rake rekutanga rekusarudza muchengeti wemagariro uye akabva agadzirisa kubva pakukanganisa kwake vachipesana nevanokwikwidza, Marseille musi wa4 Gumiguru 2015, achiita zvinonakidza, kusanganisira kuchengetedza chirango kubva kuna Abdelaziz Barrada, sezvo PSG yakakunda 21. Zvisinei, akakuvadzwa muswe wemakumbo paaiita basa renyika dzakawanda uye akarasikirwa nemutambo mumwe semugumisiro. Trapp akadzokera kuchikwata chekutanga chakatarisana neReal Madrid mumutambo weUEFA Champions League musi wa21 Gumiguru 2015, achitanga mutambo wese, sezvo akabatsira divi kuti rirambe risina zvibodzwa, mukukwikwidza 0-0. Trapp akapfuurira kuwana huwandu hwemazita mana akachena, sezvo PSG yakafambira mberi kuEFAFA Champions League Group Stage. Kutevera izvi, akachengeta machira matatu akateedzana akachena pakati pa19 Zvita 2015 na16 Ndira 2016 vachipesana neSM Caen, Bastia neToulouse. Trapp akabva atamba mumakumbo maviri eUEFA Champions League Round of 16 vachipesana neChelsea, sezvo akabatsira divi racho kukunda 4 × 2 kuti riende kunotenderera rinotevera. Mumwaka wa2015-16, Trapp akakunda Salvatore Sirigu semuchengeti wepagedhi wekutanga wePSG mumutambo weLigue 1 neUEFA Champions League, nepo muItaly akatamba muCoupe de France neCoupe de la Ligue, sezvo akabatsira kirabhu kuhwina mukombe wepamba. Pakupera kwemwaka wa2015-16, Trapp akaenderera mberi nekuita makumi mana nematanhatu mumakwikwi ese. 