Exhibit 99.2

1Q06 Earnings Conference Call May 4, 2006

Safe Harbor Statement

This slide presentation should be reviewed in conjunction with Sunoco’s First Quarter 2006 earnings conference call, held on May 4, 2006 at 3:00 p.m. ET. You may listen to the audio portion of the conference call on the website or an audio recording will be available after the call’s completion by calling 1-800-642-1687 and entering conference ID# 8163181.

Those statements made by representatives of Sunoco during the course of this conference call that are not historical facts are forward-looking statements intended to be covered by the safe harbor provisions of Section 27A of the Securities Act of 1933 and Section 21E of the Securities Exchange Act of 1934. These forward-looking statements are based upon a number of assumptions by Sunoco concerning future conditions, any or all of which may ultimately prove to be inaccurate. Forward-looking statements are inherently uncertain and necessarily involve risks that may affect Sunoco’s business prospects and performance, causing actual results to differ materially from those discussed during this conference call. Such risks and uncertainties include, by way of example and not of limitation: general business and economic conditions; competitive products and pricing; effects of weather conditions and natural disasters on the Company’s operating facilities and on product supply and demand; changes in refined product and chemical margins; variation in petroleum-based commodity prices and availability of crude oil and feedstock supply or transportation; effects of transportation disruptions; changes in the price differentials between light-sweet and heavy-sour crude oils; fluctuations in supply of feedstocks and demand for products manufactured; changes in product specifications; availability and pricing of ethanol; changes in operating conditions and costs; changes in the expected level of environmental capital, operating or remediation expenditures; age of, and changes in the reliability, efficiency and capacity of, the Company’s or a third party’s operating facilities; potential equipment malfunction; potential labor relations problems; the legislative and regulatory environment; ability to identify acquisitions, execute them under favorable terms and integrate them into the Company’s existing businesses; ability to enter into joint ventures and other similar arrangements under favorable terms; delays and/or costs related to plant construction, improvements, or repairs and the issuance of applicable permits; non-performance by or disputes with major customers, suppliers, dealers, distributors or other business partners; changes in financial markets impacting pension expense and funding requirements; political and economic conditions, including the impact of potential terrorist acts and international hostilities; and changes in the status of, or initiation of, new litigation and/or arbitration proceedings. These and other applicable risks and uncertainties have been described more fully in Sunoco’s 2005 Form 10-K filed with the Securities and Exchange Commission on March 3, 2006. Other factors not discussed herein also could materially and adversely affect Sunoco’s business prospects and/or performance. All forward-looking statements included in this conference call are expressly qualified in their entirety by the foregoing cautionary statements. Sunoco undertakes no obligation to update any forward-looking statements whether as a result of new information or future events.

Earnings Profile

Income Before Special Items*, MM$

$400 $300 $200 $100 $0

$116

$242

$357

$297

$79

Earnings Before Special Items* – 1Q06 vs. 1Q05, MM$

116

1Q05 Actual

9

79

1Q06 Actual

5

Earnings Before Special Items – 1Q06 vs. 4Q05, MM$

297

4Q05 Actual

(233)

21

14

79

1Q06 Actual

Key Margin Indicators

Refining & Supply – Realized Margin vs. Benchmark, $/B

$2.00 $1.00 $0.00

$1.60

$1.49

$0.30

$0.86

$0.46

Northeast MidContinent

Key Volume Indicators

9

Financial Indicators

10

For More Information

Media releases and SEC filings are available on our website at www.SunocoInc.com

Contact for more information:

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