Here is the statute in question:
https://www.revisor.mn.gov/statutes/?year=2013&id=624.7132#stat.624.7132
If the purchaser has the one year purchase permit, a report of the transfer is NOT required (all the way at the bottom):
624.7132 REPORT OF TRANSFER.
Subdivision 1.Required information.
Except as provided in this section and section 624.7131, every person who agrees to transfer a pistol or semiautomatic military-style assault weapon shall report the following information in writing to the chief of police of the organized full-time police department of the municipality where the proposed transferee resides or to the appropriate county sheriff if there is no such local chief of police:
(1) the name, residence, telephone number, and driver's license number or nonqualification certificate number, if any, of the proposed transferee;
(2) the sex, date of birth, height, weight, and color of eyes, and distinguishing physical characteristics, if any, of the proposed transferee;
(3) a statement that the proposed transferee authorizes the release to the local police authority of commitment information about the proposed transferee maintained by the commissioner of human services, to the extent that the information relates to the proposed transferee's eligibility to possess a pistol or semiautomatic military-style assault weapon under section 624.713, subdivision 1;
(4) a statement by the proposed transferee that the transferee is not prohibited by section 624.713 from possessing a pistol or semiautomatic military-style assault weapon; and
(5) the address of the place of business of the transferor.
The report shall be signed and dated by the transferor and the proposed transferee. The report shall be delivered by the transferor to the chief of police or sheriff no later than three days after the date of the agreement to transfer, excluding weekends and legal holidays. The statement under clause (3) must comply with any applicable requirements of Code of Federal Regulations, title 42, sections 2.31 to 2.35, with respect to consent to disclosure of alcohol or drug abuse patient records.
Subd. 2.Investigation.
Upon receipt of a transfer report, the chief of police or sheriff shall check criminal histories, records and warrant information relating to the proposed transferee through the Minnesota Crime Information System, the national criminal record repository, and the National Instant Criminal Background Check System. The chief of police or sheriff shall also make a reasonable effort to check other available state and local record-keeping systems. The chief of police or sheriff shall obtain commitment information from the commissioner of human services as provided in section 245.041.
Subd. 3.Notification.
The chief of police or sheriff shall notify the transferor and proposed transferee in writing as soon as possible if the chief or sheriff determines that the proposed transferee is prohibited by section 624.713 from possessing a pistol or semiautomatic military-style assault weapon. The notification to the transferee shall specify the grounds for the disqualification of the proposed transferee and shall set forth in detail the transferee's right of appeal under subdivision 13.
Subd. 4.Delivery.
Except as otherwise provided in subdivision 7 or 8, no person shall deliver a pistol or semiautomatic military-style assault weapon to a proposed transferee until five business days after the date the agreement to transfer is delivered to a chief of police or sheriff in accordance with subdivision 1 unless the chief of police or sheriff waives all or a portion of the seven-day waiting period. The chief of police or sheriff may waive all or a portion of the five business day waiting period in writing if the chief of police or sheriff finds that the transferee requires access to a pistol or semiautomatic military-style assault weapon because of a threat to the life of the transferee or of any member of the household of the transferee.
No person shall deliver a pistol or semiautomatic military-style assault weapon to a proposed transferee after receiving a written notification that the chief of police or sheriff has determined that the proposed transferee is prohibited by section 624.713 from possessing a pistol or semiautomatic military-style assault weapon.
If the transferor makes a report of transfer and receives no written notification of disqualification of the proposed transferee within five business days after delivery of the agreement to transfer, the pistol or semiautomatic military-style assault weapon may be delivered to the transferee.
Subd. 5.Grounds for disqualification.
A determination by the chief of police or sheriff that the proposed transferee is prohibited by section 624.713 from possessing a pistol or semiautomatic military-style assault weapon shall be the sole basis for a notification of disqualification under this section.
Subd. 6.Transferee permit.
If a chief of police or sheriff determines that a transferee is not a person prohibited by section 624.713 from possessing a pistol or semiautomatic military-style assault weapon, the transferee may, within 30 days after the determination, apply to that chief of police or sheriff for a transferee permit, and the permit shall be issued.
Subd. 7.
[Repealed, 1994 c 636 art 3 s 46]
Subd. 8.Report not required.
If the proposed transferee presents a valid transferee permit issued under section 624.7131 or a valid permit to carry issued under section 624.714, the transferor need not file a transfer report.