The storm had already claimed the lives of at least two people in China's Hainan and 16 people in the Philippines
The tourists started the third day needing 160 more runs to avoid an innings defeat that would have left them 2-0 down in this four-match series after a crushing 354-run first Test loss at Trent Bridge.
Yet they ended it on 291 for nine for a lead of 112 with one wicket standing on a wearing pitch.
Test debutant Zulqarnain Haider transformed the match with an innings of 88 made after he came in on a king pair
“I think cricket is such a game that you are never out of it until it ends,” Butt told reporters.
“This is a total that teams can get out to, and with the kind of bowling we have — the wicket has taken spin — we surely have a chance.”
Pakistan’s recovery was all the more astonishing given they’d been bowled out for 72 — their lowest total against England — in the first innings.
But for the Decision Review System (DRS), Zulqarnain would have been dismissed for his second nought of this match.
But after being given out lbw first ball to Graeme Swann by Steve Davis, he referred the Australian umpire’s decision and was reprieved after a replay showed the ball narrowly missing leg-stump.
However, off-spinner Swann ended the day with Test-best bowling figures of six wickets for 60 runs in 36 overs, including 20 maidens.
Importantly his haul included the wicket of Zulqarnain, caught at mid-off by England captain Andrew Strauss, but only after the 24-year-old had batted for more than four-and-a-half fours, facing 200 balls with 12 boundaries.
Wicketkeeper Zulqarnain, in at 82 for five, shared an eighth wicket stand of 115 with Saeed Ajmal.
Recalled off-spinner Ajmal made exactly 50 as he achieved Test bests with both bat and ball in the same match after taking five for 82 in England’s first innings 251.
Zulqarnain’s innings was all the more impressive given his father had been hospitalised recently with hepatitis C.
And after stumps he promised to donate half his match fee to the Lahore cancer hospital set up by Pakistan great Imran Khan, having lost his mother to the disease.
“He showed great ability under pressure, and emotionally he’s been under a lot of stress for quite a few days,” Butt said of Zulqarnain.
“It is remarkable the way he has played, and he’s shown us all that if you are willing to stay there and take the pain, you surely gain.”
Pakistan had been routed for 80 in their second innings at Trent Bridge and dismissed for even fewer at Edgbaston first time around as their batsmen struggled against the swinging ball in overcast conditions.
But on Sunday the sun came out, reducing the threat of England’s quicks.
Swann praised Pakistan’s fightback.
“Pakistan made us work really hard, it was going to happen at some stage. They deserve the plaudits rather than us getting the downers.”
As for Zulqarnain, Swann said: “He did really well considering he could have had a king pair if we didn’t have a review system.
“It would have been one of the most talked-about debuts for the wrong reasons. I take my hat off to him. He applied himself really well.”
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