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With Liliana of the Viel if one or both players do not have a card to discard, does Liliana still get the token place on her?
Liliana of the Veil
First, it's a counter, not a token. But yes, Liliana gaining a loyalty counter is the cost to activate her ability. It doesn't matter if one or both players have no card to discard, you can still activate the ability.
spelling counts when autocarding: Liliana of the Veil