The Tigers boss produced an impressive upturn in results at the KCOM Stadium following his January arrival, although he was ultimately unable to prevent the club’s immediate return to the Sky Bet Championship.
He is out of contract at the end of the season and is wanted by Watford and Southamption.
Silva will meet City chairman Assem Allam next week before publicly declaring his decision and said: “I have in my mind (a decision) but the first person who will listen to this situation is the chairman and our board.
“We need to talk about many, many things – it’s not only if I want (to stay) or not.
“We need to look for the future of the club. We need to look as well what is my goal for my career. We started to talk during this week and we’ll meet again next week.
“It’s important we keep some things inside the club, and not say them outside. Of course when we decide we’ll explain more about the situation.”
Silva insists he has not been in contact with any other team, saying: “It’s impossible for me to talk about the other clubs.
“First, because Hull City deserve all my respect. We have one more game to play and this club, Watford in this case, have one more game to play. Up until now, nothing has happened.
“This is the truth and it is impossible to talk about the clubs, A, B, C or D. The most important thing is I’m here to work at Hull City, not to talk about other clubs.”