The 2010 US Open Doubles finalist remains unhappy that a 2013 match against the same opponents held in Myanmar was handed by the match referee to New Zealand because of the poor playing conditions, while Qureshi was winning.
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Pakistan has not hosted a Davis Cup tie since 2005 and plays its home matches in neutral venues because of security concerns. The 36-year-old announced the decision in his tweet.
I believe we need to make a stand for our Country & rights🇵🇰 specially nowadays when unfrtunately no place is safe https://t.co/DjKIU6FqFa
— Aisam ul Haq Qureshi (@aisamhqureshi) September 5, 2016
Speaking to AFP, his father Ehtisham ul Haq added: "Aisam is not in the right frame of mind and to pre-empt any further controversy he has pulled out of the tie."
The Pakistan team was due to travel to Christchurch for their Davis Cup Asia Oceania Group I second round play-offs from September 16-18.
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Ehtisham added: "Pakistan had offered a number of options to save the 2013 tie but New Zealand's approach was unprecedented... which they should have made up by touring Pakistan."
Tennis New Zealand has hit back, saying the decision to play in a neutral venue was made by the International Tennis Federation (ITF).
"Pakistan had applied to the ITF to play the tie in their country but for obvious reasons (security concerns) that was rejected by the ITF," TNZ chief executive Steve Johns told Stuff.co.nz.
"So, for Qureshi to say we didn't want to go Pakistan is incorrect. We never had the opportunity because the ITF made its decision before we got to the point where we had to decide whether or not we would go to Pakistan."
Qureshi, whose highest single's ranking was 125, reached the US Open men's doubles finals with Indian Rohan Bopanna and the mixed double's final with Czech Kveta Peschke.
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