Shujaa remain winless at the Hong Kong Sevens after losing to Argentina and Canada in the preliminaries on Saturday .
In humid conditions, Kenya couldn't withstand the harassment of a well-oiled Argentina outfit, losing 26-7.
Kenya got off to a bright start with vice captain Vincent Onyala executing a dummy past the South American's defence to score a try as Johnstone Olindi converted for a 7-0 lead.
Argentina responded with two quick tries courtesy of Rodrigo Isigo and Augustine Faga, both of which were converted for a 14-7 lead at the interval.
On resumption, Luciano Gonzalez and Mattias Osadczuk put the game beyond the reach for Shujaa.
In the match against Canada, Shujaa lost 19-14 in a pulsating encounter with both sides dropping to the classification matches set for Sunday.
Willy Ambaka and Billy Odhiambo scored a try each for Kenya with Phil Betna scoring a brace for the North Americans as Lachlan Kratz added one.