pediu que eu fizesse isso

asked me to do that

→ pedir
phrase Rare #38,869
asked me to do that Used when someone requests or tells you to do something. The verb after que is in the imperfect subjunctive here.
PO: Minha mãe pediu que eu fizesse isso imediatamente.
EN: My mom asked me to do that immediately.

O chefe pediu que eu fizesse isso hoje.

My boss asked me to do this today.

Tom me pediu que eu fizesse isso.

Tom asked me to do this.

O Tom me pediu que eu fizesse isso para a Mary.

Tom asked me to do this for Mary.

Tom pediu que eu fizesse isso.

Tom asked me to do this.