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the USSR
Cuba usa and Russia
The USSR
Soviet missiles were in Cuba and US attempt to oust Castro was complete failure
Spain us and ussr
The main players were the US, the USSR and Cuba. The US had intelligence that the USSR were setting up nuclear missiles in Cuba; Kennedy didn't like the idea much.
The Soviet Union lent Cuba nuclear missiles in order to protect the sovereignty of Cuba, a communist nation.
The USA had missile bases in Turkey which were pointing directly at the USSR so the USSR put missiles on Cuba so that they were pointing directly at the USA. So therefore if the USA ordered the missiles in Turkey to attack the USSR, then the USSR could just straight away order the missiles in Cuba to attack the USA.
US & USSR.
cuba
The leaders of both nations (The US and the USSR) sent immediate messages to each other and reached an agreement that the USSR would take the missiles out of cuba, if the US promised to not attack Cuba, and also for the US to remove its missiles from Turkey after a few months.
The USSR, (The Union of Soviet Socialist Republics). Oh and of cause Cuba.