Reputation - Attributes, Connection?

This was a hard one to title and, in my head, hard to put into a question, but here it goes.

Each club has a reputation set out of 10,000.

The higher the reputation the more alluring the club is to the players.

Scenario (FM08): I was Red Star Belgrade in Serbia in, lets say, about 2010 I think it was.

I tried to bring in a bunch of older players do tutor some of my younger players in thier last couple of seasons...

I had success with a few (Edgar Davids, Thierry Henry) but when I tried to bring in others

(Alvaro Recoba, Adrian Mutu) they weren't interested in a move, even in thier mid-late 30's.

Question: Is there an attribute (hidden or not) which would correspond to lowest club

reputation that this player would go to or atleast consider?

Also how much would the Nations/Cities Attraction affect this?

I was in the First Knockout Round of the European Cup at the time and had been making the Group Stages at the very least.

I don't think that had as much of an affect as I had thought it would have

No, the game calculates the likelihood of a player considering a club based on players' ability, reputation, age, nationality, personality etc.