Quote Originally Posted by General Appo
Yeah, in my Romani campaign Marcvs Asiaticus got 3 Triumphs, I couldn´t be bothered to ship him back from Syria for his 4th one. As soon as he landed in Syria and fought 3 or 4 battles he´d get a new Triumph, just like that. Then again he did have 10 Influence, guess that has got to help a bit.

If you look at the conditions for getting Imperator, there is not any requirement for high influence. High influence only affects probability he will be summoned back to Rome after he was named Imperator and other conditions were met , to be called Triumphator.