Paraguayans Nelson Amarilla and Juan Aguilar are set to win West Ham United contracts after successful trials.
The Daily Mail says Amarilla, 20, a defender, and Juan Aguilar, 19, a midfielder, play for Guarani in Paraguay but have had a week of training in east London.
West Ham manager Gianfranco Zola said the club had yet to make a decision but he thought the Hammers would want them both to stay.
Zola said: "The project is to make a team capable of a high level. We cannot compete by spending £200million so we have to do it through getting young players.