Gourriel dazzled in the 1988 Baseball World Cup. He hit .500/.579/1.000 to lead in slugging. He also hit two major home runs. In the last round-robin game, he came up with two on, one out and a 9–6 deficit in the 9th inning, then smashed a 3-run homer off of Joe Slusarski to tie it; Cuba would go on to beat Team USA. In the gold medal game, he hit a game-tying homer in the 9th against Jim Abbott to again ruin America's hopes. He made the tourney All-Star team, joining Luis Casanova and Daisuke Tsutsui in the outfield.
In the 1989 Intercontinental Cup, Lourdes again was in the All-Star outfield, having hit .435 and slugged .913. In the finale against Japan, he drove in four of Cuba's 8 runs. He was 5th in the tournament in average. He won the MVP award for the tourney. In the 1989–1990 National Series, he drew 8 intentional walks to tie Alejo O'Reilly for the lead in his region.
During the 1991 Pan American Games, the 34-year-old veteran hit .419 and tied Kindelan and Chris Roberts for the lead with four homers. He made the All-Star team as the top first baseman.
In the 1992 Olympics, Gourriel batted .400/.439/.692 with 9 runs and 10 RBI in nine games as the #5 hitter and first baseman for the Gold Medal Cubans, including a 3 for 5 effort against Taiwan in the finals.
In the 1993 Intercontinental Cup, Gourriel hit .390/.391/.683 as the DH for the champions. He tied Linares for 4th with 16 RBI and tied for fourth with three homers. He was the tournament's All-Star DH, giving him five All-Star nods in the past five major international tourneys he had played in (excluding the Olympics, which did not name an All-Star; he would have been a likely choice at first). In the 1993 Central American Games, he batted .444 and led with 12 hits.
In the 1994 Baseball World Cup, the 37-year-old remained at the top of his game, winning the MVP honors after hitting .429/.488/.881 with 4 homers, 15 runs and 18 RBI in 10 games. He led the Cup in RBI, tied for the lead in triples (2), tied for third in hits and tied for fifth in home runs. He was chosen as the All-Star DH for his sixth All-Star selection in his last six major world tournaments that picked an All-Star team.
Gourriel led Sancti Spíritus for 7 seasons (2000–2001 to 2006–2007) then spent two years managing in Nicaragua. He returned to his old Cuban squad in 09-10 and managed them to a 63–27 record, the league's best, before they fell in the playoffs 4 games to 1 to the Industriales, major underdogs. After a 49–41 record in 2010–2011, he was replaced by Ruperto Zamora.