- I'd like to thank you for taking the time to meet me last day.
- I'd like to thank you for taking the time to met me last day?
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The infinitive particle is always followed by the base form of the verb, so to meet, never to met.
To met cannot occur in a sentence (unless if the two words are in different constituents and happen to come together, e.g. The lawyer I sent the emails to met up with us last week: The lawyer [I sent the emails to] met up with us last week).
If the infinitive is passive, past, or continuous, the to is followed by the base form of an auxiliary, be or have; in that case, the main verb will be in the form of an appropriate participle: to be meeting, to have met, to have been meeting, to be met, to have been met (the last two are passive).
We form the perfect infinitive with to have + the -ed form of a verb.
She claims to have met a number of famous people, but I don’t believe her.
I would prefer to have stayed at a small, family-run hotel than a big international chain.
For you information, there is no "to had..." "to has...".