US Secretary of State John Kerry said there was "no justification" for the military coup in Thailand.
"This act will have negative implications for the US-Thai relationship, especially for our relationship with the Thai military," Kerry said in a statement.
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Four men are being interrogated in Spain's National Court over the vehicle attacks that killed 15 people and wounded more than 120 others.
In the position paper the Government sets out plans to ensure that cross-border legal disputes are dealt with in a "fair way" post-Brexit.