Real granted Victor Chust a rare start, and saw Federico Valverde fresh from a stellar display against Liverpool in the UEFA Champions League self-isolate following Covid-19 concerns.
An end-to-end opening had the host on the end of a decent opening from a close-range effort by Mathias Olivera before a snap shot from Mariano Diaz at the other end struck the side-netting.
Madrid nearly succumbed to the home side's pressure play on the midway mark after a header inside the area from Jaime Mata following a cross came off the post.
However, Madrid should've taken the lead from a loose ball in the area minutes from the half-hour mark through Marcelo but the host retreated and cleared the danger away.
Los Blancos put the host under more pressure in the last five minutes to halftime as a header from Vinicius Junior brought a sharp save off goalkeeper David Soria.
Getafe were fired up after the break and came close to go ahead from a free-kick by David Timor, but goalkeeper Thibaut Courtois parried before Carles Alena chipped a loose pass over the top.
The visitors issued a double substitution on 62 minutes in order to liven up their attack, with Karim Benzema in for Diaz and Rodrygo recalled for Antonio Conde.
This brought no effect following the closing stages, as Getafe instead closed in through promising efforts from amongst others Angel and Nemanja Maksimovic.
Real showed a bit of resolve inside full-time despite a lack of decent openings, however it finished goalless between the two sides, as Zidane's remain in second spot but are now three points behind league leaders Atletico Madrid.
