The man should always make the first trip to the lady. Number of reasons for this, It easier for the man to get a visa and and impossible in some westerns countries like UK, USA for the girl to get a visitors visa. Another reason is one of safety. If one of my daughters was to travel to a foreign country to meet with a man she never met before as a father I would be terrified. Fianally if the man has serious intentions he will travel it is the gentleman thing to do. If he not prepared to travel dump him like a stone he not worth it