The city completed a free parking trial for 374 bays on Sundays in December, but it led to a $4,446 revenue drop in December compared with the same time period in 2011.
Mr Maxwell said association members were strong supporters of free parking on Sunday.
‘I think that would be a really positive step,’ he said.
‘It would address a few issues of the competitive nature of Sunday trading and would be a step in the right direction.
‘At the moment other places may be considered superior because they offer free parking (on a Sunday).’
The Shenton Park resident said the association had tried to promote the area to increase customer traffic.
‘We try to make Subiaco a destination to shop on Sunday,’ he said.
‘If we don’t do better and offer more exciting things, Subiaco as a shopping district is going to decline.’
Mr Maxwell listed Claremont Quarter, Sorrento and Dianella’s Coventry Markets as major competitors for Sunday trading customers.
Mayor Heather Henderson said the council could not tell if the trial was successful in boosting numbers.
‘In the absence of data, we could not see whether it had been successful,’ Mrs Henderson said.
‘We might think of doing it again in December, but it depends on the outcome of our parking strategy.
‘Also, having the free parking not available when an AFL game is on sends mixed messages.’
The public comment period for the parking strategy 2012-2016 will be announced soon.