Abadi who was on his way to the accident site has been injured in the leg, according to IRNA reporter in Kabul.
Media reports, however, later added that he is in stable conditions.
Four blasts rocked centre of Kabul which is one of the most crowded areas of the city on Monday.
Iraqi embassy was particularly targeted, but no death has been reported yet.
The ISIS terrorist group later claimed responsibility for the attack on the Iraqi mission.
