Simple issues arise when you want to create a Website that is truly global. These things are actually so basic that if you aren't looking for them you might miss them. For example, if you are attempting to globalize your Website, you'll want to do things such as point out what country you are located in, as well as include an area code with your phone number.
Another thing to think through is live help service. If you are planning on offering it, will it be 24 hours? If not, how can you address the needs of your customers on the other side of the globe?
Issues such as these are a good reason to hire a Web designer with experience in global markets. See if any graphic design agencies in your area specialize in this type of work. If not, you might want to look at individual Web designers or freelance graphic design professionals. Ultimately it may be worth spending a few extra dollars to make sure that you don't miss any details that might cost you business.