In the ATP rankings, Etcheverry is just one spot ahead of British number one Norrie, who is ranked 31st in the world.
The Argentine won 7-6 (7-4) 7-6 (7-1) despite the fact that there wasn’t much separating the two players during the tie-breaks.
The American third seed Taylor Fritz defeated British number two Jack Draper in the Bavarian International quarterfinals.
Fritz overcame a 0–6 deficit to win 4-6 6-3 7-6 (7–1) and will now play Chile’s Cristian Garin. The world number 106 defeated German first seed Alexander Zverev 6-4 6-4.
After defeating Marc-Andrea Husler of Switzerland in straight sets, Danish player Holger Rune continued his quest for a third consecutive Bavarian International title.
Meanwhile, in Barcelona, Etcheverry will face third-seeded Casper Ruud of Norway, who defeated Italy’s Matteo Arnaldi 6-4, 6-3.
Conversely, Greek player Stefanos Tsitsipas held off a close encounter with Argentinean player Facundo Diaz Acosta.