Frank Farina's side were left frustrated as they dominated possession and chances but couldn't strike the killer blow.

Roar had fallen behind to an early goal when Travis Dodd converted from the spot but a wonderfully worked goal saw Miller fire the home side level.

The home team, inspired by the half-time introduction of Reinaldo, created a myriad of chances in the final 45 minutes.

Roar had got back on level terms only a minute into the second half, as Miller scored his second goal of the season off the back of some excellent set-up play from Sergio van Dijk.

The big Dutchman's back-heel touch was exquisite and allowed Miller to surge into the box and slot home with his left-foot without breaking stride.

The goal sparked an impressive flurry from Roar, as Reinaldo, van Dijk and an increasingly prominent Matt McKay strode forward with real purpose.

But the Adelaide defence dug deep, survived several nervous moments and found a way to keep their hosts at bay.

Aurelio Vidmar's side could even have had an unlikely late winner of their own, but keeper Liam Reddy produced a brilliant point-blank save to deny Lucas Pantelis in stoppage time.

Earlier, Adelaide United had momentarily silenced the parochial home crowd with Dodd's neatly taken penalty.

Roar had most of the possession up to that point but Adelaide made the most of their first real foray forward.

Brazilian signing Cristiano skipped past two Roar defenders before being brought down Josh McCloughan and Dodd made no mistake from the spot - despite Reddy guessing correctly and diving to his right.

The visitors initially appeared the more likely side to add to the scoreboard and it wasn't until the 22nd minute that the Roar had a shot on target, with Massimo Murdocca's shot comfortably gathered by Eugene Galekovic.

But Roar slowly worked their way into the contest. Murdocca's next shot was clawed away by Galekovic and in the 43rd minute the Roar all but restored parity.

Tim Smits' snuck in on the right, only to see his goal-bound shot brilliant saved by Galekovic, while Miller's follow-up effort was deflected wide by a desperate Alemao.

Roar skipper Craig Moore was a surprise late inclusion for the home side, after his jarred knee survived the pre-game warm-up.

The result continued Adelaide's unbeaten A-League record at Suncorp.