I made a gift of €60,000 to my daughter ten years ago. How much can I give her today?

You may give her as much as you like. 

However, every 15 years (Art. 790 G Tax Code), parents may give up to €100,000 to each child free of inheritance tax. Since you gave €60,000 ten years ago, you can now give her an additional €40,000 tax-free.
You may also give her €31,865 in cash only, provided you are under 80 years old and she is at least 18.