The 21-year-old has touched down in his last two games for the club - the thrilling Heineken Cup victory over Parisians Racing Metro following by the defeat to Munster.
Those performances, however, were not enough to earn Brown a staring berth against the Italians.
Brown's versatility in being able to cover all three back three positions is sure to be utilised by coach Michael Bradley at some point and Brown will be ready and waiting for his chance.
"When you get your first try hopefully they start rolling in," said Brown told the Scotsman.
"I could not really ask for more than the four starts I've had so far plus the same number of substitute stints at this stage in my career but I'd like to face them again.
"The longer I am on a pitch the more confident I feel and you are always looking for game time, always fighting to get into the starting 15, always seeking to put yourself into position to be considered. It's about growing as a player.
"Full-back is my primary position but as a back-three player I still get the chance to roam about and look for the ball. I have got my strengths in both positions."
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