Founded in 1971 the CBI is the Centre for the Promotion of Imports from developing countries. The organization based in the Netherlands is funded by the Netherlands Ministry of Foreign Affairs and has a purpose of helping contribute to sustainable and inclusive economic development in developing countries through the expansion of exports from these countries to Europe.
According to the CBI the import of fresh limes to the European market increased by 50% in volume from 2011 to 2015 as a result of its use in food preparation and beverages.
Most of these Persian lime imports are coming from the source countries of Brazil and Mexico. Together these two countries were 94% of the total lime import market to Europe.
The Netherlands is far and away the most important importer of limes in Europe, in part because much of the imports are distributed across Europe.
Within Europe, the Northern Europeans have the strongest demand for limes. Furthermore, there is an increasing demand for limes, and fruit in general that are grown with social accountability and organic certification.
Here's the research article on exporting fresh limes to Europe from the CBI website.