Both Chelsea and Fulham advanced in the Carabao Cup on Thursday evening, dispatching League One opposition with comfortable victories.At Stamford Bridge, Danny Welbeck marked his first appearance since joining from Brighton with a goal in a 2-0 triumph over Luton Town, with Hakeem Odoffin’s own goal completing the scoring. The 35-year-old headed in from close range during the opening period.The biggest talking point, however, surrounded Enzo Fernandez’s absence from the matchday squad entirely. The midfielder’s representatives have been in discussions with Manchester City, and Argentine media reports have suggested he requested to be omitted as he pursues a move to the Etihad.Across London, Fulham cruised past AFC Wimbledon 3-0 courtesy of goals from Emile Smith Rowe, Rodrigo Muniz and Gonzalo Garcia.Danny Welbeck scored his first Chelsea goal on his first start for his new club | GETTYXabi Alonso’s first competitive home match in charge proved a largely one-sided affair, though Luton keeper Josh Keeley kept the scoreline respectable with an outstanding display between the posts.Keeley began with a superb double save to thwart Cole Palmer inside the opening quarter of an hour, before stretching to tip a Reece James free-kick round the post.Club-record acquisition Morgan Rogers struck the crossbar with a volley on his home bow, while Palmer later saw a curling strike cannon off the woodwork.Luton’s Benny Benagr and Odoffin threatened from set pieces without truly testing debutant goalkeeper Mike Penders.Odoffin’s misfortune arrived in the 79th minute when he turned Estevao Willian’s shot into his own net. Jamie Gittens then rattled the post in stoppage time.Estevao Willian’s shot was deflected into the Luton net by Hakeem Odoffin | GETTYFulham’s victory at AFC Wimbledon delivered Alvaro Arbeloa his maiden win as manager, despite making 10 alterations from their weekend league defeat to Chelsea.Smith Rowe opened the scoring in the 37th minute, heading home after Ryan Sessegnon — whose brother Steven featured for the hosts — nodded Kenny Tete’s deep delivery into his path.Muniz netted his first goal in more than 12 months before half-time, rising to connect with another Tete cross. The Brazilian striker had not found the net since the first weekend of last season.Eighteen-year-old Macaulay Zepa entered at the interval for his senior debut and made an immediate impression, later threading a pass to Garcia, the summer arrival from Real Madrid, who rounded Nathan Bishop to slot home in added time.Chelsea’s reward is a home tie against Premier League rivals Leeds United at Stamford Bridge in the week beginning 7 September.Gonzalo Garcia scored his first Fulham goal after signing from Real Madrid in the summer | GETTYFulham will travel to face Championship outfit West Ham, who progressed after seeing off Southampton on Tuesday evening, in the third round.The Carabao Cup carries particular weight for Alonso’s side this term, with Chelsea absent from European competition. The tournament represents one of fewer routes to silverware for the Blues.Fernandez had come off the bench in Monday’s 3-2 league victory at Craven Cottage, but his future at the club appears increasingly uncertain. Whether the Argentine will feature again before the transfer window closes remains to be seen.Wimbledon, meanwhile, are still searching for a victory inside 90 minutes this campaign.