The visitors came out on top 31-22 in a tight match that day and Jenkins is expecting more of the same this time around.
"All of our games in Rome have been decided by very tight margins," said Jenkins.
"Games against Italy are always very tough and I don't see this one being any different.
"It was tight when we played out here in 1996 and I can remember it was a passionate performance from Italy and the fans were right behind them and I'm expecting more of the same."
Wales face an Italian side who are without captain Sergio Parisse and although they suffered a heavy defeat to Scotland last time out, Jenkins is wary of Italy's home form.
"Italy had a fantastic victory here against France three weeks ago and we are expecting a very hard game," he added.
"They have really developed their game over recent years and are playing a pretty good offloading game now too.
"They would have been disappointed with the defeat to Scotland but we know they can play and they will want to show that tomorrow."
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