Saints chief Les Reed had scouts posted to PSV's Champions League clash with FC Rostov last night, with Narsingh the subject of his attention.
Earlier this month, Narsingh revealed he had a deadline day offer to move to England.
"There was interest, but I did not choose. I could have gone to Turkey (Trabzonspor) and to the Premier League, but the latter offer only came in the last six hours of the transfer deadline," he told De Telegraaf.
"I'm not going to make such a decision six hours before the transfer deadline.