In front of a capacity 6,000 crowd at Ipurua, Madrid did little to dispel the doubts caused by their 4-0 thrashing by Barcelona last weekend but Bale's first-half header and a late penalty from Ronaldo were enough for all three points yesterday.
Madrid remain in third, but victory takes Rafael Benitez's men back to within six points of league leaders Barca and two points of city rivals Atletico Madrid.
"The important thing was to get the three points and do so with this spirit of sacrifice," said Madrid boss Rafael Benitez.
"That is the key if we want to continue being strong in the future."
Eibar have enjoyed a stellar start to just their second season in the top flight, but as against Barcelona and Atletico in their only other two prior defeats this season, they didn't have enough quality to trouble Madrid in the final third.
After a slow start, Ronaldo was presented with a great chance to open the scoring on 15 minutes from James Rodriguez's fine through ball, but he couldn't lift the ball over the advancing Asier Riesgo and Mateo Kovacic wastefully fired the rebound over.
The Welshman could have had a second moments later as he brilliantly controlled a long ball into the box, but lacked the power needed in his final effort to beat Riesgo.
Bale turned provider at the start of the second period with a pinpoint cross for Ronaldo only for the Portuguese to fluff his lines when attempting an overhead kick.
Ronaldo's wayward afternoon in front of goal continued when he somehow failed to hit the target with the goal at his mercy after rounding Riesgo from Lucas Vazquez's pass.
Sevilla dominated from the off and were handed a huge boost when Joao Cancelo was sent off for a second bookable offence 10 minutes before half-time.
Sergio Escudero finally opened the scoring when he connected brilliantly with Ever Banega's clever cross five minutes into the second-half.
Valencia ended with nine men as Javi Fuego also picked up a second yellow card to leave Los Che still five points off the top four with Barcelona to come at home next weekend.
Angel Lafita and Alvaro Vazquez struck for the hosts to leave Villarreal still in sixth having won just one of their last seven league games.
Meanwhile, Aritz Aduriz became the first Spanish striker to score 20 goals in a season before December this century as he netted a hat-trick in Athletic Bilbao's 3-0 romp at Rayo Vallecano.
You’ve reached your limit of {{free_limit}} free articles this month.
Subscribe now for unlimited access.
Already subscribed? Log in
Subscribe to read the full story →
Smart Quarterly
₹900
3 Months
₹300/Month
Smart Essential
₹2,700
1 Year
₹225/Month
Super Saver
₹3,900
2 Years
₹162/Month
Renews automatically, cancel anytime
Here’s what’s included in our digital subscription plans
Exclusive premium stories online
Over 30 premium stories daily, handpicked by our editors


Complimentary Access to The New York Times
News, Games, Cooking, Audio, Wirecutter & The Athletic
Business Standard Epaper
Digital replica of our daily newspaper — with options to read, save, and share


Curated Newsletters
Insights on markets, finance, politics, tech, and more delivered to your inbox
Market Analysis & Investment Insights
In-depth market analysis & insights with access to The Smart Investor


Archives
Repository of articles and publications dating back to 1997
Ad-free Reading
Uninterrupted reading experience with no advertisements


Seamless Access Across All Devices
Access Business Standard across devices — mobile, tablet, or PC, via web or app
