Annexation of Alpes Cottiae - AD 64/65
Annexation of the Agri Decumates - AD 74
Division of Moesia into two provinces in about AD 85; superior (upper) and inferior (lower)
Annexation of the kingdom of Nabatea as Province of Arabia Petra - AD 105 or 106
Conquest of Dacia - AD 106
Division of Pannonia into two provinces in AD 107; superior (upper) and inferior (lower)
Annexation of Armenia - AD 114
Conquest of Mesopotamia - AD 116
Conquest of Assyria - AD 116
Note: At the death of Trajan in AD 117 southern Mesopotamia was already lost to the enemy again.