There are excellent cosmetic surgeons throughout the world. However, Americans seeking surgery abroad requires homework. Consider establishing a relationship with a local board certified plastic surgeon before going on your trip. Then, if complications arise when you return home, a qualified surgeon will be familiar with your goals and procedures.
Unless you have met the surgeon on a prior visit, and have seen the surgery facility, how do you know that you will be comfortable with him or her, and feel secure in proceeding with surgery? Remember, a successful; doctor-patient relationship is based on confidence and trust, not on perceived savings and price. Make sure you are fully comfortable with the surgeon providing your care.
What are the risks of long flights and any additional land travel before and after surgery? Will travel have an impact on my surgical outcome? Will I have to stay longer at the tourist destination to decrease the risk of post-surgical deep vein thrombosis (DVT) before I get on a plane?
Is there an increased risk of DVT in the legs, or pulmonary embolism (blood clots in the lungs) associated with long air travel before and after surgery?
What is the surgeon's training?
Be sure that your physician has specific training in cosmetic surgery procedures through an accredited plastic surgery residency program and/or fellowship. What specialty certification does the surgeon hold? The International Society for Aesthetic Plastic Surgery is a good source for finding qualified cosmetic surgeons.

"Be sure that your physician has specific training in cosmetic surgery procedures through an accredited plastic surgery residency program and/or fellowship..."
This is good advice, no matter where your surgeon practices. Surgery isn't the kind of thing you want to have to do over, if you can help it.