Williams was expected to miss Wales' November Test series against Australia, New Zealand, Samoa and Argentina.
South Africa won the first of the two-Test series in Bombay in just three days.
They've come out and shown we want to make a play in this Test series still.
He also took them to New Zealand in 1993 where the Test series was lost 2-1.
The full squad for the three-Test series will be chosen and announced early next week.
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Nixon also believes England will have learnt from Australia's mistakes in their 2-0 Test series defeat.
Why are the leading players underprepared for the biggest Test series of the year?
They obviously are very experienced and England desperately want to get back into this Test series.
Four years ago Sir Clive Woodward's top-heavy tourists were soundly hammered 3-0 in the Test series.
However, he believes the team is now well-set for the forthcoming four-Test series against England.
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Halfpenny has just been called up to the Wales squad for next month's autumn test series.
"We had a very young team but we should have won the Test series, " he said.
South Africa lost their first Test series to Sri Lanka 1-0 before being swept 5-0 in the one-day series.
Scrum-half Ellis is Leicester's only representative in the 37-man squad for the three-Test series in South Africa.
This was the first time a Lions side had come from behind to win a Test series.
BBC: SPORT | Rugby Union | Lions in NZ | History of the Lions: Australia 1989
The odds, however, are against the Proteas, who have never won a Test series on Australian soil.
Skipper Graeme Smith steered the visitors, who lead the three-Test series 1-0, to 23-0 by the close.
England triumphed 3-1 in the Test series, 2-0 in the Twenty20s and 3-2 in the one-day matches.
The Australian begins his reign as full-time GB coach with this month's Test series against New Zealand.
Hastings led the Lions on their 1993 tour of New Zealand, narrowly losing the three-Test series 2-1.
Australia go into the third Test at the Waca with a 2-0 lead in the five-Test series.
After winning the Test series West Indies are within touching distance of doing the double over England.
All-rounder Yuvraj injured a wrist in the same game and will miss the two-Test series against the Proteas.
BBC: Rahul Dravid and Yuvraj Singh miss first Test for India
Skipper Chris Gayle and 12 other senior players did not play in the two-Test series defeat against Bangladesh.
Plunkett, due to join up with England in December for the Test series, is currently with the performance squad.
Dan Biggar, Martin Roberts, Morgan Stoddart and Eifion Roberts drop out of the squad from the autumn Test series.
Simon Katich scored an unbeaten 113 to lead Australia, who lead the three-Test series 1-0, to 259-3 at stumps.
Finn, 21, took 15 wickets in the 2-0 Test series win over Bangladesh.
India has now only won three of the 16 Test series in England.
Nel, who is 31 on 15 July, was far from certain to make this summer's Test series in England.
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