Exhibit 23.2
Consent of Independent Registered Public Accounting Firm
We consent to the reference to our firm under the caption “Experts” in the Registration Statement
(Form S-3) of ConocoPhillips and Permian Basin Royalty Trust and related Prospectus of Permian
Basin Royalty Trust for the registration of 9,620,741 units of beneficial interest in the trust and
to the incorporation by reference therein of our reports dated February 26, 2006, with respect to
the consolidated financial statements, condensed consolidating financial information and financial
statement schedule of ConocoPhillips, ConocoPhillips management’s assessment of the effectiveness
of internal control over financial reporting, and the effectiveness of internal control over
financial reporting of ConocoPhillips, included in its Annual Report (Form 10-K) for the year ended
December 31, 2005, filed with the Securities and Exchange Commission.
/s/ Ernst & Young LLP
Houston, Texas
June 16, 2006