Unai Emery’s side looked in control for much of the opening period at Villa Park on Saturday, but their performance deteriorated after the interval as Fulham grew into the contest.
Nicolas Jackson had given Villa the lead in the 39th minute, finishing after being played through by Johan Manzambi. The hosts had earlier missed an opportunity to go ahead when John McGinn struck the crossbar with a penalty.
Fulham responded strongly after half-time and eventually found an equaliser in the 64th minute. Alex Iwobi's corner caused problems in the Villa penalty area, with goalkeeper Zion Suzuki spilling the ball over the line for an own goal.
Lindelöf was disappointed with the way his team approached the second period, believing they allowed Fulham too much control and paid the price.
“Obviously, we’re disappointed not to get the three points today, but then again, the way we came out in the second half is not good enough,” the Swedish defender told VillaTV.
“The first 20 minutes, we didn’t manage to keep the ball, they created a few too many chances and obviously we conceded the goal.”
The centre-back felt Villa needed to show greater authority after the break, particularly after their promising first-half display.
“The second half, we have to come out stronger and be able to control the game in a better way. It cost us three points today,” he added.
Villa had opportunities to regain the lead after Fulham equalised, but the visitors held firm to secure a point. The result ended a run of positive performances for Emery's side, who had been hoping to continue their progress in the Premier League.
The draw leaves Villa with a sense of frustration, particularly given the advantage they had established before half-time. Lindelöf's assessment was clear: the team needed to manage the game better when Fulham increased their intensity.
There is little time for Villa to dwell on the dropped points, with a significant European fixture coming up next.
Emery's side travel to Spain on Tuesday to face Barcelona in the Champions League, giving them an immediate opportunity to respond.