Snodgrass is expected to complete a £7million switch to the KC Stadium from Norwich after passing a medical on Thursday, with the Scotland international set to sign a three-year deal.
Spurs defender Michael Dawson has entered the final year of his deal at White Hart Lane and it is understood a £4million bid will be enough to convince the London club to sell.
Talks between the two clubs have begun but Hull are yet to reach an agreement with the 30-year-old centre-half.
Ince is a free agent after seeing his contract with Blackpool come to an end but Hull will have to pay a compensation fee as the winger is under the age of 23.
However, the £1.5million loan fee Crystal Palace paid to take the 22-year-old on loan in January will be subtracted from the final figure that will be set by a tribunal.
Hull are likely to face competition for Ince but at present it would appear as if the Tigers are the frontrunners in the battle for his signature.