Dreaming about getting a visa is a sign that your claims will be soon fulfilled. Often it is an indicator of a legal, court related success. You will likely have success dealing with the law and lawyers.
The meaning of getting a visa while standing in line with other people waiting is often a sign of financial success. On the contrary to traveling, the financial success will come from your close environment.
If you dream that you asked but you had not been given a visa it can mean that some of your business plans will turn sour. This is especially true if the dream was dreamt early in the morning. A dream that was dreamt early into the night has a less serious meaning.
If you dream that you had been issued a visa by a person of note it is a sure sign that you will travel abroad very soon. The travel will be solitary and you will travel alone.
If you dream that you had been asked for your visa by an official person or an officer of law such as a policeman it means that you will soon get out of trouble by using your prudence and good attention to detail. In other words there might be danger that you will be in trouble with the law but you will get out of it by proving your innocence.
The meaning of you issuing a visa to another person is very positive. It means that you will get to a position of responsibility and note. It might not be strictly law related but nevertheless this position will be one that many other people will desire.
If you dream that you had ask for a visa in an embassy means that you will be successful at the end but not before going through a very long legal and bureaucratic process.