It depends on the nature of your business. International trademark law is very complicated because countries legislate their procedures and economic alliances like the European Union draft geographically encompassing policy. Property rights and trademarks are on based fundamentally on the current laws in your country.
Economic alliances and international conventions often overlap your jurisdictional rulings. Policies and regulations about trademarks in, for example, the European Union apply to all the member states. National or domestic laws thus apply to separate countries but are also influenced by geographical, political, and economic factors. The Republic of Ireland, for example, has laws and practices that mirror the United Kingdom. Similarly, the United States, Canada, and other countries recognize service marks.
You need to review the laws and treaties that pertain to trademarks and other intellectual property rights in your country before you consider other countries in which you do business. We recommend you seek legal counsel when applying for a trademark especially if you have international commercial interests.