Cory Bernardi has flown from one storm of controversy to another, with British news organisations branding the South Australian as "disgraced" ahead of his expected arrival in Oxford this weekend.

Senator Bernardi flew out of Australia yesterday shortly after he triggered outrage and calls for his sacking when he suggested to Parliament that legalising gay marriage could trigger demands for bestiality and polygamy to also be legalised.

He is expected to deliver a lecture to the European Young Conservative Freedom Summit in Oxford this weekend.

Conservative Future, which is organising the summit, is the largest youth political organisation in Britain and is a breeding ground for talent for the UK's Conservative Party.