Dominguez Lino rallied past Teliana Pereira 3-6, 6-4, 6-3, and Larsson defeated Nina Bratchikova 6-2, 6-3 at the clay-court tournament on Sweden's west coast.
Zakopalova broke serve five times to beat Arantxa Parra Santonja 6-3, 6-1, and Razzano came from behind to down Alexandra Dulgheru 3-6, 6-0, 6-4.
Also, second-seeded Simona Halep advanced to the second round by beating Rebecca Peterson of Sweden 6-4, 6-0.
The Romanian has recently surged in the rankings after winning three WTA titles in five weeks.
Results from the day three of the WTA Swedish Open on Wednesday (x denotes seeding):
Second round:
Lourdes Dominguez (ESP x5) bt Teliana Pereira (BRA) 3-6, 6-4, 6-3
Klara Zakopalova (CZE x3) bt Arantxa Parra (ESP) 6-3, 6-1
Johanna Larsson (SWE x8) bt Nina Bratchikova (RUS) 6-2, 6-3
Virginie Razzano (FRA) bt Alexandra Dulgheru (ROM) 3-6, 6-0, 6-4
First round:
Simona Halep (ROM x2) bt Rebecca Peterson (SWE) 6-4, 6-0