The Wizards: Saruman
Rarity: Fixed, Precise: F2
Character: Avatar
Unique. May tap to use a Palantír. At the beginning of each of his end-of-turn phases, he mayto take one "spell" card from his discard pile and return it to his hand. "His face was long, with a high forehead, he had deep darkling eyes, hard to fathom..."-LotRIII Home Site: Isengard
The Lidless Eye: Calendal
Rarity: Rare, Precise: R
Character
Unique. May tap to use a Palantír he bears. +2 direct influence against Elves and Elf factions. "...lingered in the twilight of our Sun and Moon but loved best the stars."-Hob Home Site: Dol Guldur
The Wizards: Align Palantír
Rarity: Uncommon, Precise: U
Resource: Permanent-event
Sage only if a Palantír is in his company. Keep with the Palantír; bearer now has the ability to use the Palantír. If the Palantír is stored, this card is stored too. Discard Align Palantír if the company carrying the Palantír moves. May not be duplicated on a given Palantír. "'...For this assuredly is the palantír of Orthanc from the treasury of Elendil, set here by the Kings of Gondor...'"-LotRIII
My opinion is that tapping to use Palantír and ability to use Palantír are different things.The Lidless Eye: Palantír of Elostirion
Rarity: Rare, Precise: R
Resource: Special Item
Unique. Palantír. Playable at The White Towers. Discard if the bearer moves. If the bearer is a sage: your hand size increases by one and the bearer is able to use this Palantír this turn if he taps. With its bearer able to use a Palantír, tap Palantír of Elostirion to draw a card. Bearer then makes a corruption check.
In practice: Saruman and Calendal tap themselves for effect of Palantír; Palantír they bear is not tapped.
Conversely characters that have ability to use a Palantír do not tap for effect of Palantír; Palantír they bear is tapped for effect.