FORM 4 [ ] Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).         
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES
                                                                                  
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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940
                      

1. Name and Address of Reporting Person *

MURCHIE JAMES
2. Issuer Name and Ticker or Trading Symbol

FIRST TRUST ENERGY INFRASTRUCTURE FUND [ FIF ]
5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

_____ Director                    _____ 10% Owner
_____ Officer (give title below)    __X__ Other (specify below)
Officer-Investment Sub-Advisor
(Last)          (First)          (Middle)

ENERGY INCOME PARTNERS, LLC, 10 WRIGHT STREET
3. Date of Earliest Transaction (MM/DD/YYYY)

5/27/2020
(Street)

WESTPORT, CT 06880
(City)        (State)        (Zip)
4. If Amendment, Date Original Filed (MM/DD/YYYY)

 
6. Individual or Joint/Group Filing (Check Applicable Line)

_X _ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)
2. Trans. Date 2A. Deemed Execution Date, if any 3. Trans. Code
(Instr. 8)
4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)
5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)
6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4)
Code V Amount (A) or (D) Price
Common Shares 5/27/2020  P  200 A$10.9500 37700 D  
Common Shares 5/27/2020  P  100 A$11.0100 37800 D  
Common Shares 5/27/2020  P  2900 A$11.0200 40700 D  
Common Shares 5/27/2020  P  1065 A$11.0090 41765 D  
Common Shares 5/27/2020  P  735 A$11.0080 42500 D  
Common Shares 5/27/2020  P  1500 A$10.9720 44000 D  

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 3)
2. Conversion or Exercise Price of Derivative Security3. Trans. Date3A. Deemed Execution Date, if any4. Trans. Code
(Instr. 8)
5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)
6. Date Exercisable and Expiration Date7. Title and Amount of Securities Underlying Derivative Security
(Instr. 3 and 4)
8. Price of Derivative Security
(Instr. 5)
9. Number of derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)11. Nature of Indirect Beneficial Ownership (Instr. 4)
CodeV(A)(D)Date ExercisableExpiration DateTitleAmount or Number of Shares

Explanation of Responses:

Reporting Owners
Reporting Owner Name / Address
Relationships
Director10% OwnerOfficerOther
MURCHIE JAMES
ENERGY INCOME PARTNERS, LLC
10 WRIGHT STREET
WESTPORT, CT 06880



Officer-Investment Sub-Advisor

Signatures
/s/ James Murchie, by Kristi A. Maher, attorney-in-fact, pursuant to a Power of Attorney5/28/2020
**Signature of Reporting PersonDate

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