The visiting Blues created more goalscoring chances than their opposition but ultimately had to settle for a 0-0 draw at the Britannia Stadium.
"The first half was difficult. They managed to get a lot of their set-plays, which in the end is their game and we had to deal with them," Villas-Boas told Sky Sports News.
"It was pretty clear in the second half we raised the tempo a little bit and we managed to create a couple of opportunities.
"In the second half we picked it up a little bit but unfortunately we couldn't score.
"If a goal had gone in we could have built from there but it was difficult because it was not happening."
Next Saturday Villas-Boas will take charge of his first match at Stamford Bridge, where West Bromwich Albion are the visitors.