Is it possible for an Eastern Rite Catholic to change over to the Roman Rite and become ordained as Latin Rite priest? Is it possible for an Eastern Rite Catholic to change over to the Roman Rite and become ordained as Latin Rite priest?

Is it possible for a layperson of an Eastern Catholic Rite (say the Melkite Rite) to change rites and become a seminarian studying to be a priest in the Roman Rite, I would like to know the process that is involved in changing rites so one can enter the seminary as a Latin Rite seminarian. Perhaps one would have to be bi-ritual? Any resources into this matter would be greatly appreciated.

According to the comment from agapewolf on Roman Catholic children and the Melkite Rite, there is a cursory mention of "paperwork" in reference to the chaldean rite.

However, according to Babies can receive the Eucharist in the Orthodox Church, why do Catholic children have to wait?: the differences between Eastern Rite Churches in commiunion with Rome are merely pastoral and neither doctirnal nor dogmatic.  So I feel there is not much friction in this respect.

But according to this EWTN article: Orthodox priest to Catholic priest, vice versa, it seems to be up to the bishop (based on the 4th answer).

Nothing I have found seems to give a clear answer on this.  Any proper explanation is well appreciated. And feel free to point me toward more credible resources, as I am no expert on this matter.  

Any references as to what protocols are in place by Rome would be greatly appreciated.
There has been long-standing tradition of Syrian Catholics of Kerala, Southern India getting ordained as parish priests of churches belonging  to Latin Rite dioceses and  some of them even becoming Bishops of the dioceses within the Roman Rite.