The result sees the Clarets end the midweek round of matches in 18th place in the table, but a win away to Newcastle United this weekend could see them leapfrog Watford and move out of the relegation zone.
Speaking after the draw with Wolves, Burnley boss Sean Dyche said: “I think we didn't quite find where we want to be offensively, the defensive structure of the side and mentality was excellent, to make sure we got a clean sheet, so pleased with that.
“Not offensively as strong as we've looked recently, but there's a balance and they're a good side, sixth in the Premier League, so on the whole, we wanted to win, but we'll take a draw and a clean sheet.
“We found some good moments early on, Chas (Charlie Taylor) was absolutely outstanding, going both ways, and put a brilliant ball in for Woody, who glanced a header. We started okay, but didn't really build on that and couldn't quite find our feet in the second half.
“The defensive structure was excellent, key performance from Taylor, Ben Mee solid, Nathan Collins excellent again, Lowts steady, and Popey did what he needed to do when he needed to. There was a lot of work from the side but just not with the ball as much as we'd like.”
Here is our rundown of the latest news and updates from the Premier League, as the build-up to this weekend's eagerly-anticipated action begins:
1. Toffees still keen on Diaz
Everton are believed to still have an interest in signing Porto striker Luis Diaz, despite failing to sign the Colombia international. He's likely to cost around £42m, after dazzling in the Portuguese top tier and the Champions League so far this season. (Sport Witness)
Photo: Clive Brunskill
2. Red Devils eye Werner
Reports from Germany have suggested that Man Utd could target Chelsea flop Timo Werner in January, as the Red Devils look to improve their squad. He played under the Red Devils' interim boss Ralph Rangnick during his time at RB Leipzig. (talkSPORT)
Photo: BEN STANSALL
3. Potter could be considered for Man Utd job
Manchester United could make a move for Roberto Mancini as their next manager, while Brighton's Graham Potter and Sporting CP's Ruben Amorim could be left field options the club could pursue instead. (Telegraph)
Photo: Alex Pantling
4. Saints keen on Freckleton
Southampton are said to be among a number of clubs interested in signing Bristol Rovers defender Miguel Freckleton. The 18-year-old is believed to have spent time on trial with the Saints, as well as Sheffield United and Hull City. (Bristol Post)
Photo: Harry Trump