After finishing third 12 months ago, Buenos Aires looked like they would have to settle for a runners-up medal as they trailed 17-7 before Paz's intervention - and Albanese insisted his players would cherish their victory forever.
"I think Buenos Aires winning an international competition like the World Club 7s will help rugby back home," Albanese said.
"I think it will especially benefit 7s - it is still growing up in Argentina. The finals were live on TV there so I think the impact will be quite big.
"During the final we never thought we were going to lose. We were 17-7 down but we felt we were still in the game and could score quickly. We had to keep hold of the ball and as soon as we did that we did good things, we scored good tries and we were able to celebrate.
"We wanted this as a team. Our heart and soul was to tackle first and to give 100 per cent and we played as a team and we won as a team.
"To be at Twickenham and end up winning the tournament is just unbelievable, especially for the players - this is a memory they won't forget for the rest of their lives."
Buenos Aires had progressed from Pool A with maximum points on Saturday but they were put to the test during the knock-out stages, edging past Cardiff Blues 7-5 in the quarter-finals.
And with Russian side Kuban Krasnodar finishing third, Albanese believed the tournament had been a fantastic advert for how 7s is spreading rugby around the world.
"We had to work hard for our wins. All the teams were improving and you could see them working very hard on their 7s," he added.
"That's the way 7s is now that countries that maybe aren't as strong in 15-a-side rugby are now doing really well in 7s and you could see that in the way the Russian clubs performed.
"7s is no longer a case of picking a squad of ten players with good skills and letting them play. Now you must have a system and people who understand the game."