De Gea made two breathtaking saves to deny Steven N'Zonzi and Luis Muriel at the end of the first half at the Ramon Sanchez Pizjuan, denying Sevilla a lead to take to England for next month's return.
Sevilla were the more likely side, with United offering little going forward despite the presence of Alexis Sanchez, Romelu Lukaku and Juan Mata in their attack.
Their inability, unwillingness even, to get an away goal leaves the tie wide open ahead of the second leg, with United looking to reach the quarter-finals in their first appearance in the knockout stage of the Champions League since 2014.
"The only moment where we felt relieved was in the last couple of moments of the first half when from a couple of our mistakes in possession they had a couple of good situations and De Gea made good saves," said Mourinho.
"I really feel the result reflected what the game was -- you ask me was it a good result, and I say it was not good and not bad."
Mourinho decided to leave Pogba out of his starting line-up, despite the Frenchman being back in the squad after illness had kept him out of United's FA Cup win at Huddersfield Town.
Fuelling the speculation of an uneasy relationship between Mourinho and the France midfielder, the United manager chose to select 21-year-old Scott McTominay ahead of Pogba in a midfield three.
===================
However, an untimely injury to Ander Herrera meant Pogba was thrown on after just 17 minutes of a first half dominated by the Spanish side.
Sevilla, looking to make it past the last 16 of the Champions League after falling in their three previous appearances at this stage over the last decade, could and should have had a goal to show for their performance.
De Gea made one good early save low down to deny Colombian Muriel, while Jesus Navas, impressive at right-back, fired just wide after latching onto Ever Banega's cross-field pass.
Stepping up the pressure just before half-time, Joaquin Correa's shot from a good position was too easy for De Gea, but the Spain 'keeper displayed all his class as he kept out headed attempts from N'Zonzi and Muriel from point-blank range, both saves requiring breathtaking reactions.
And they were content to leave Spain with a 0-0 draw, continuing to soak up pressure in the second half and relying on Sevilla's indecision in the final third.
They were also aided by Pablo Sarabia's inability to find the target from an inviting Muriel cross in the 73rd minute, before Lukaku's goal was ruled out by French referee Clement Turpin for a handball as he controlled before shooting.
Whether Mourinho's team should have been more adventurous will only become clear after the return in Manchester in three weeks.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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