Britain and France are drafting a United Nations resolution on imposing a no-fly zone over Libya.
Its aim is to stop Colonel Gaddafi launching air strikes on those towns held by rebels. It is something Nato defence ministers will discuss when they meet at the end of the week.
Lakhdar Brahimi has spent most of his life trying to negotiate an end to conflicts in the world's trouble spots. He has held senior positions in both the United Nations and the Arab League.
HARDtalk's Sarah Montague asked him what he thinks should be done about Libya and the Middle East.
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You can watch the full interview on BBC World News on Wednesday 9th March 2011 at 0430, 0930, 1530 and 2130 GMT and on BBC News Channel at 0430 and 2330.