The Nerazzurri gave up a one-goal lead to fall behind 2-1 after Diego Milito’s 30th minute own goal but managed to rally to record a draw thanks to a 41st minute Samuel Eto’o strike.
Benitez admitted Inter were down in the first half but bounced back to produce a fair second term and grab a point against a difficult opponent.
“It’s true the first half was very difficult, but in the second we were under control and I am satisfied with the result against a difficult side,” said Benitez.
“Twente have a lot of height and it was tough for us, as they tended to go past the midfield, so we had to adjust our approach.
“Clearly they had two or three dangerous crosses in the first half. We’re talking about a side that plays with intensity and has some huge centre-forwards, so they are tough to mark in the air.
“I saw some elements of the right spirit during the game and slowly we improved in our intensity.”