Described by associates as a "wealthy and peaceful man", he had been staying with friends in an apartment close to Connaught Square.
Following the incident, which occurred last September, he was initially charged with being drunk and disorderly and assaulting a police officer, but was eventually bound over to keep the peace for 12 months following an agreement between his legal team and the Crown Prosecution Service.
According to his lawyers, Mr Alrashidi, was deeply concerned at his treatment by the police and considered taking the matter further.
However he eventually returned to Kuwait having decided not to pursue the matter.
His lawyer in London, Bassam Tablieh said the incident had escalated because of confusion and Mr Alrashidi's lack of English.
He said: "Mr Alrashidi is a Kuwaiti national, who lives abroad. He doesn't speak very good English. He is a peaceful man and didn't realise what was happening."
A spokesman for Scotland Yard confirmed that a taser had been deployed and a man was charged with being drunk and disorderly and assault.
Mr Blair's London home is protected by officers the Metropolitan Police's CO6 Diplomatic Protection Unit.
In 2009, the former Prime Minister was criticised after intervening in order to maintain a 24-hour security detail on the property when the force proposed cutting it in order to save money.
Critics claimed Mr Blair, who is estimated to have made as much as £20 million since leaving office, should help fund any security detail himself.