Bournemouth were denied a second win in two games as Middlesbrough substitute Marcus Browne's header earned the hosts a point 10 minutes from time.
Without manager Neil Warnock in attendance after he tested positive for coronavirus earlier in the week, Boro fell behind when Dominic Solanke turned home Arnaut Danjuma's first-half corner.
Former Liverpool striker Solanke almost made it 2-0 but was denied when one-on-one with goalkeeper Marcus Bettinelli.
And the hosts levelled shortly afterwards as Browne smartly guided home Paddy McNair's superb cross, much to the delight of the 1,000 socially-distanced fans who were allowed into the Riverside.