Dr Barry Morgan, Archbishop of Wales, told ITV News that he is in favour of organ donation, but feels the Human Transplantation Bill needs amending to take relatives' feelings into account.
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The heaviest bursts are expected in the south and east, with some western areas either remaining dry or becoming dry by dawn.
Many places will start dry, but rain in the southeast will spread to most for a time overnight.
The family of Isaac Nash who went missing after being swept out to sea last summer have presented a cheque for £10,000 to the RNLI.