Ers hynny, mae'r rheoliadau hyn wedi parhau i gael eu hadolygu ac mae nifer o newidiadau wedi'u gwneud:ar 10 Gorffennaf, diwygiodd Llywodraeth Cymru y Rheoliadau i gyflwyno eithriadau i’r gofyniad i hunanynysu ar gyfer rhestr o wledydd a thiriogaethau, ac ystod gyfyngedig o bobl mewn sectorau arbenigol neu gyflogaeth a allai fod wedi'u heithrio rhag cyfyngiadau penodol;ar 11 Gorffennaf tynnwyd Serbia o’r rhestr o wledydd a thiriogaethau sydd wedi’u heithrio, oherwydd pryderon am y risg uwch i iechyd y cyhoedd wrth i deithwyr o'r wlad honno ddod i'r DU;wedi hynny, ar 26 Gorffennaf, tynnwyd Sbaen a'i hynysoedd o’r rhestr o wledydd a thiriogaethau sydd wedi’u heithrio, am yr un rheswm.
Since then these regulations have been kept under review and a number of changes have been made:on 10 July the Welsh Government amended the Regulations to introduce exemptions from the self-isolation requirement for a list of countries and territories, and a limited range of people in specialised sectors or employment who may be exempt from or except from certain restrictions;on 11 July Serbia was removed from the list of exempt countries and territories because of concerns about the increased public health risk presented by travellers from that country entering the UK;subsequently on 26 July Spain and its islands was removed from the list of exempt countries and territories for the same reason.