Ursinus deals with the Passover question in the Heidelberg Catechism and Commentary, Lord's Day 30 found here.

Specifically in the last section of the commentary for this Lord's Day's Catechism teaching is the following:
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Has the Passover been abolished?

That the ancient Passover, with all the other types which prefigured the Messiah which was to come, was abolished at the coming of Christ is evident,

1. From the whole argument of the Apostle in the Epistle to the Hebrews respecting the abolishing of the legal shadows in the New Testament. “The priesthood being changed, there is made of necessity a change also of the law.” “In that he saith, A new covenant, he hath made the first old.” (Heb. 7:12; 8:13.)

2. From the fulfillment of these legal shadows. “These things were done that the Scriptures might be fulfilled. A bone of him shall not be broken.” “Christ our Passover is sacrificed for us.” (John 19:36. 1 Cor. 5:7.)

3. From the substitution of the New Testament; for Christ, when he was about to suffer, and die and sacrifice himself as the true Passover, closed the ordinance relating to the paschal lamb with a solemn feast, and instituted and commanded his supper to be observed by the church in the place of the old passover. “With desire, I have desired to eat with you this passover, before I suffer.” “This do in remembrance of me.” (Luke 22:15, 19.) Christ here commands the supper, not the ancient passover, to be celebrated in remembrance of him. As baptism has, therefore, succeeded circumcision, so the Lord’s supper has succeeded the passover in the New Testament.
I think that aside from educational purposes, i.e. to learn about the elements and practice, it is not for the Christian to participate in for spiritual or religious reasons.

The Chestnut Mare