Luiz was a surprise omission from the Blues squad for the visit of Jose Mourinho's side, with Denmark worldwide Andreas Christensen named from the start of the 1-0 victory at Stamford Bridge.
And with youngster Andreas Christensen having been preferred by Conte in defence, questions over Luiz's Blues future have arisen, although the boss was quick to play down any such suggestions. Maybe in the future I can decide a different way, or continue in this way. I must take the best decision for the club, not for a single player.
"It was only a tactical decision".
"It's normal, this can happen to everyone of my players".
There were reports that after recent form, including the 3-0 dismantling in Rome last week, that Conte was coming under pressure from above but Neville believes his players made the statement that they back their manager on Sunday. I have to put my face in every situation, and sometimes make important decisions.
Conte subbed Luiz off against Roma in the Champions League and the defender reacted in a manner in which you would not expect from a senior player. "Sometimes, I can make mistakes or sometimes I can do the best thing".More news: Blizzard is making StarCraft II: Wings of Liberty free-to-play
When asked about his future, Conte said: "You talk about the future but every day you talk about mine".
"I wouldn't say they were exactly flamboyant past year but I don't think they're as dominant in games".
Christensen was clapped by his head coach again in the second half and was one of Chelsea's best performers as they kept only their second clean sheet in nine games.
Luiz in action for Brazil. "I was very happy for this", Conte said in the press conference following the win over United.