The Premier League side, fielding a different XI in each half, took the opportunity to give valuable run-outs to new signings Cheikhou Kouyate, Mauro Zarate, Diego Poyet and Aaron Cresswell at Portman Road but failed to find a way through, despite a handful of good chances.
Kouyate and Cresswell started the match - the latter given a warm reception on his return to the club from whom he joined West Ham on a five-year deal in the close-season.
The left-back looked bright early on, and he went close to making a decisive impact when his deft chip cannoned back off the woodwork after 14 minutes.
Mohamed Diame also saw a shot deflected just wide while, at the other end, Jack Marriott dragged a shot just past the post with Frank Nouble lurking.
Zarate and Poyet were brought off the bench to boost the visitors' attacking options, but it was Sebastian Lletget who went closest to finding a winner for the Premier League side.
West Ham will next embark on a pre-season tour to New Zealand, taking in games against A-League teams Wellington Phoenix and Sydney FC.
