Cardinal Murphy-O'Connor has expressed concerns about the embryos Bill.
The head of the Roman Catholic Church in England and Wales has invited Roman Catholic MPs to a meeting to discuss upcoming Parliamentary issues.
The Human Fertilisation and Embryology Bill is likely to feature heavily in any discussions. In a recent letter to The Times, Cardinal Murphy-O'Connor called for Government MPs to be given a free vote on the controversial Bill.
The Bill includes plans to allow IVF for lesbians and genetically-modified babies with two mums and one dad. The passage of the Bill in Parliament is also likely to re-open the abortion debate.
During a House of Lords debate on the proposals, the Anglican Archbishop of York criticised plans to remove the requirement that doctors should consider a "child's need for a father" in IVF treatment.
It is currently expected that all Labour MPs will be whipped to vote in favour of the Government's Bill, which is not expected to reach the Commons until 2008. However, the Government has said its MPs will be allowed a free vote on abortion if the issue arises.