The two events, for approximately 40 people each, are taking place over four days. The Dubai trip took place last week, while the Capri trip is set to begin later this month. Zibrant were reappointed for the event, which they have organised for six years.
Highlights from the events include themed dinners, cruises and desert-based activities.
Kate Smith-Wilson, executive assistant for International Markets at Elavon, said: "Our 2013 events are going to be very exciting. Through the ongoing development of our relationship with Zibrant, we have been able to ensure that all our events deliver consistency in terms of fabulous locations offering a wide variety of activities and memories that will last a lifetime.
She added: "Having Zibrant at the helm has helped us to achieve our goals and these events continue to serve as a great incentive and reward for our staff whom we see as our number one asset."