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Globally, Gleyson (Gleyson ) is quite a common boy's forename. The first name Gleyson is habitual in Brazil, where it is quite a rare masculine name, and Portugal, where it is a rare male name.
Melo, Martins, Machado, Moreira, Santana, Almeida, Andrade, Cardoso, Barbosa, Batista, Pereira, Ribeiro, Freitas, Fonseca, Monteiro, Carvalho, Teixeira, Ferreira, Oliveira, Conceicao, Rodrigues, Goncalves, Farias, Vieira, Junior, Castro, Cruz, Reis, Dias, Lima, Moura, Silva, Sousa, Souza, Alves, Costa, Fernandes, Brito, Ramos, Rocha, Gomes, Lopes, Jesus, Nunes, Mendes, Santos, Soares, Araujo, Pinto, and Nascimento