The Rotterdam giants were keen to sign Dutch international striker Hesselink and highly-rated goalkeeper Babos, but they have been put off by their price tags.
Feyenoord need to bring in a new goalkeeper to replace Jerzy Dudek, who is expected to complete his move to Arsenal soon, and they are determined to sign a proven goalscorer for next season.
Moens would be keen on a move as he is still having problems with his club AZ Alkmaar and he would see a move to the De Kuip as a dream transfer having been born in Rotterdam.
Feyenoord have switched their attentions to Dutch international van Hooijdonk, who would be a cheaper alternative to Hesselink.
Benfica, who are experiencing financial problems would be prepared to offload the former Celtic and Nottingham Forest striker for a fee of £2.75 million, which is considerably lower than the £10 million they were quoted for Hesselink.
Van Hooijdonk, who scored 18 goals in the Portuguese league for Benfica this season, would be keen on a return to Holland after experiencing trouble at Benfica over his wages.
The only sticking point is the player's age as at 31 he is not seen as a long-term alternative for the club, but he is the high-profile striker the club are keen to bring in for next season.