When we read Teravāda Thepitaka there is no significant evidence to conclude that Sāriputta Thero had super-human knowledges such as read others minds, Iddhividhañāṇa; other than Therapadana.
In anupadasutta, the blessed one explained qualities of Sariputta Thero. In this sutta we can see Sāriputta Thero had eight jhānās where he had mastered the dimension of neither perception nor non-perception.(MN111).
However, there is nothing about super-human powers in the sutta. Ever since the blessed one mentioned his qualities, it seems strange that super-human powers are not to mentioned if there were.
In the Nalanda sutta Sāriputta Thero confesses that he has no power to read the blessed one’s mind.
“Then, Sāriputta, have you encompassed with your mind my own mind—I being at present the Arahant, the Perfectly Enlightened One—and known thus: ‘The Blessed One is of such virtue, or of such qualities, or of such wisdom, or of such dwellings, or of such liberation’?”
No, venerable sir.
Here we can see Sāriputta thero could not read blessed one’s because he did not master super-human power of mind reading (cetopariya).
Several Senior Theros are present in the aparadittisutta insidant but Sariputta Thero.
Several Theros found where the Buddha is and traveled to the World of Brahma.
There is another insidant that shows Sariputta Thero did not have the super-human power of divine sight.
Then the Venerable Sāriputta approached the Blessed One, paid homage to him, sat down to one side, and said to him: “Venerable sir, the Venerable Channa has used the knife. What is his destination, what is his future bourn?”
“Sāriputta, didn’t the bhikkhu Channa declare his blameless-ness right in your presence?”
“Venerable sir, there is a Vajjian village named Pubbavijjhana. There the Venerable Channa had friendly families, intimate families, hospitable families.”
“The Venerable Channa did indeed have these friendly families, Sāriputta, intimate families, hospitable families; but I do not say that to this extent one is blameworthy. Sāriputta, when one lays down this body and takes up another body, then I say one is blameworthy. This did not happen in the case of the bhikkhu Channa. The bhikkhu Channa used the knife blamelessly. Thus, Sāriputta, should you remember it.
If Sariputta Thero had super-human knowledge of Divine Sight he could rather see where Channa Thero has gone after death. But as he asked buddha about it we can assume that he had no Divine Sight.
Do other Arihat theros had the same problem reading budda’s mind?
Mara the evil one read the buddha’s mind,
Then Mara the Evil One, having known with his own mind the reflection in the Blessed One’s mind,.
Note: There are more evidence in Marasamyutta.
Other brahmas also read budda’s mind,
According to Ayacanasutta, Brahma Sahampati read buddha’s mind.
Other Arihat Theros also read buddha’s mind.
Evidence needed, however, since other devas and brahmas could read buddha’s mind why not Arihat Theros.
At the end of the Sāriputtattheraapadāna,
Paṭisambhidā catasso , vimokkhāpi ca aṭṭhime;
Chaḷabhiññā sacchikatā, kataṃ buddhassa sāsanaṃ.
There is no English meaning in the SuttaCentral, and I will take important part that Chaḷabhiññā sacchikatā which means mastered the six branches of super-human knowledge.
This is the only evidence to suggest that Sāriputta thero had super-human knowledges.
Then there is a partial evidence to prove in petavattu, kuddakanikaya.
Here Sariputta Thero talked to the Petha. To talk He may be having Divine Sight.
Please provide suttas regarding this topic and give your opinions