If you were subject to a 10-year immigration based on deception or misrepresentation or for overstaying, once the time become spent, you will be entitled to apply for a new visa and entry to the UK. However, in any future application you must disclose that you were subject to an immigration ban. 

If you are looking to apply for a new visa to the UK. My Legal Services have a vast experience and expertise in UK immigration and EU law matters. They are based in the heart of Central London, Bond Street.