The 18-year-old is currently on the books of GAIS in Sweden's second tier where he has caught the eye of Madrid.
GAIS denied any knowledge of a possible deal for Singh, although the player did confirm that an approach had been made to his agent.
He told fotbollskanalen.se: "They have not spoken to me personally, but they did talk with my agent. It's a big club, but I just want to focus on the present. I belong to GAIS and I just want to focus on playing here and helping the team. I'm not thinking about anything else."
Real Madrid Castilla, the B-side of the UEFA Champions League cup holders, reportedly want Singh to join immediately even though his current deal runs until next year.
Singh also expressed excitement at the prospect of a move to Madrid, "If the move can happen, of course I will be happy."
The teenager is a product of Farouk Khan's Stars of Africa Academy - the same programme that launched the careers of Bafana Bafana internationals Tokelo Rantie and May Mahlangu.
Singh, who was converted from a winger to a striker on his way to scoring seven goals in 15 starts for GAIS, nearly joined Portuguese giants Benfica at the start of the campaign.
However, the deal fell through as Benfica wanted him to join their academy when the player's representatives felt he was ready for senior football.