Wales will rise to a new high of eighth when the next Fifa world rankings are released on 1 October.
Chris Coleman’s side are on the brink of qualifying for Euro 2016 after beating Cyprus and drawing with Israel.
They will swap places with Chile, who are set to drop one to ninth spot despite beating Paraguay 3-2 in a friendly.
Wales stay above England, who will remain 10th despite wins against San Marino and Switzerland.
Had Wales beaten Israel, they would have risen to fourth but reaching eighth is still the sixth time in the last seven rankings that Wales have set a new record.
Argentina will stay top, while Germany will regain second place from Belgium, who drop to third.
Northern Ireland are likely to rise from 41st in the rankings, while Scotland will drop from 31st.
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