One of the construction firms handpicked by the NSW government to bid to rebuild the Sydney Football Stadium says they are not interested in completing the project.

Builder A W Edwards was among a handful of companies - including Multiplex and John Holland - which Infrastructure NSW had last week invited to bid for the project.

What remains of the stadium at Moore Park. Credit:Brook Mitchell

It came after the NSW government last week announced construction giant Lendlease would not be constructing the stadium because it was unable to complete the $729 million project within budget.

A W Edwards' business development manager John Devlin said the company - which built the Victor Trumper and Don Bradman stands at the Sydney Cricket Ground - had decided against making an offer.