The duo, who competed for the first time together at January’s National Cup in Southend, overcame difficult weather conditions and a lengthy delay to finish behind China and Germany.
Daley and Plymouth Diving’s Goodfellow scored 446.40 points with China’s Aisen Chen and Yue Lin claiming 456.00 points and Germany’s experienced pair of Sascha Klein and Patrick Hausding 448.44.
Diving was suspended after four rounds of the final due to thunder, lightning and heavy rain before eventually resuming 45 minutes later. It was still raining when the action resumed but Daley and Goodfellow did not let that put them off.
Their achievement match that of Tonia Couch and Sarah Barrow who won bronze in the women’s 10m event on Friday evening.