Here is a solution you can try out. In the code snippet below, imagine that I input the city name as Mumbai, the dropdown will then display names related to the city of Mumbai.
My next step involves waiting for the desired city option to appear in the dropdown list. For this, I have utilized an explicit wait.
Upon locating and clicking on the city named Mumbai Central, Mumbai
driver.get("http://www.medinfi.com");
driver.manage().window().maximize();
driver.manage().timeouts().implicitlyWait(10, TimeUnit.SECONDS);
driver.findElement(By.id("city-locality1")).sendKeys("Mumbai");
WebDriverWait wait = new WebDriverWait(driver, 15);
wait.until(ExpectedConditions.elementToBeClickable(driver.findElement(By.xpath("//div[@class='cityLocaDiv1 col-lg-12 col-md-12 col-sm-12 col-xs-12']/ul[@id='autoCityResult1']/li/a[contains(text(), 'Mumbai Central, Mumbai')]"))));
driver.findElement(By.xpath("//div[@class='cityLocaDiv1 col-lg-12 col-md-12 col-sm-12 col-xs-12']/ul[@id='autoCityResult1']/li/a[contains(text(), 'Mumbai Central, Mumbai')]")).click();