Is there a word or phrase meaning to plant my idea in someone else’s mind?

Is there a word or phrase that means to plant my idea in someone else’s mind so they think it is their own idea?

Just like what happened in the movie Inception.

Solution 1:

Consider the term insinuate. According to Collins English Dictionary it means

1. (may take a clause as object) to suggest by indirect allusion, hints, innuendo, etc
2. (transitive) to introduce subtly or deviously
3. (transitive) to cause (someone, esp oneself) to be accepted by gradual approaches or manoeuvres

All three definitions suggest the type of seduction you allude to.

Solution 2:

Brainwashing is a common expression for getting someone to think or believe something that was artificially inserted in their mind through a variety of techniques.