The phrase "official apology" means a formal and public expression of regret or sorrow from a person or organization for a mistake or wrongdoing they have done. Full definition
Some demanded a full official apology from the British government. (politics.co.uk)
While the two parties have exchanged official apologies, they will still face disciplinary action. (thehardtackle.com)
Related: ESPN issues official apology for Brent Musburger's comments during National Championship game Related: Aaron Murray tweets about AJ McCarron's girlfriend and McCarron responds on Twitter Related: Darnell Dockett tries to pick up AJ McCarron's girlfriend through Twitter Related: Alabama fan naming her baby «Saban»? (diehardsport.com)