The standard go-to list for overseas shoppers is: Albatross, AQ, BARE, BVA, Coyle, HS Brands, International Service Check. These are all top-notch reputable firms. Visit the MSPA-A/P website for other leads: [
www.mspa-ap.org]. You might get some false leads if you are only interested in GCC countries and are not interested in the "larger" middle east - e.g. the Levant and North Africa.
Additionally, you might take a look at the following. I am not experienced with them so cannot comment on their reputability:
[
www.crm-me.com]
[
www.sisadubai.com]
[
www.ventures-me.com]
It goes without mentioning, be sure that you have the legal right to work where you shop. The risk may not be high, but you certainly don't want to be deported from a country where you do not have the right-to-work.