According to Belgian newspaper Le Soir, Dr. Helmut Marko contacted Stoffel Vandoorne in September.
McLaren boss Martin Whitmarsh has said he is trying to find seats in Formula One for the 21-year-old Belgian as well as his 2013 Formula Renault 3.5 rival Kevin Magnussen.
Vandoorne told the Belgian newspaper Le Soir: "Yes, Dr Helmut Marko contacted me in September."Red Bull.
"As (Antonio Felix) da Costa was not doing an exceptional season, they began to question him and contacted me," said Vandoorne.
Magnussen, poised to secure the Formula Renault 3.5 title ahead of Vandoorne this weekend in Spain, has been linked with Force India and Marussia for 2014.
Vandoorne admitted he is second in line behind the Dane.
"They (McLaren) are looking out for me too," he said, "but at this point, I would give myself a 20-25 per cent chance to go to F1 in 2014."
He said another season in Formula Renault 3.5 is the "most likely option" for next year, partly because McLaren does not rate the GP2 series.
Vandoorne also said the McLaren reserve role is a possibility.
Germany's Auto Bild is reporting that Portuguese da Costa will be announced next week as Ricciardo's Toro Rosso successor for 2014.